671328 has 120 divisors (see below), whose sum is σ = 2317392. Its totient is φ = 186624.

The previous prime is 671323. The next prime is 671339. The reversal of 671328 is 823176.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671323) by changing a digit.

671328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18126 + ... + 18162.

2^{671328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158696).

671328 is an abundant number, since it is smaller than the sum of its proper divisors (1646064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

671328 is a wasteful number, since it uses less digits than its factorization.

671328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 671328 is about 819.3460807254. The cubic root of 671328 is about 87.5611762658.

671328 divided by its product of digits (2016) gives a palindrome (333).

It can be divided in two parts, 671 and 328, that added together give a palindrome (999).

The spelling of 671328 in words is "six hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 54 56 63 72 74 81 84 96 108 111 112 126 144 148 162 168 189 216 222 224 252 259 288 296 324 333 336 378 432 444 504 518 567 592 648 666 672 756 777 864 888 999 1008 1036 1134 1184 1296 1332 1512 1554 1776 1998 2016 2072 2268 2331 2592 2664 2997 3024 3108 3552 3996 4144 4536 4662 5328 5994 6048 6216 6993 7992 8288 9072 9324 10656 11988 12432 13986 15984 18144 18648 20979 23976 24864 27972 31968 37296 41958 47952 55944 74592 83916 95904 111888 167832 223776 335664 671328

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