671600 has 60 divisors (see below), whose sum is σ = 1706736. Its totient is φ = 253440.

The previous prime is 671591. The next prime is 671603. The reversal of 671600 is 6176.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 671600.

It is not an unprimeable number, because it can be changed into a prime (671603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9164 + ... + 9236.

2⁶⁷¹⁶⁰⁰ 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 671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853368).

671600 is an abundant number, since it is smaller than the sum of its proper divisors (1035136).

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

671600 is a wasteful number, since it uses less digits than its factorization.

671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 671600 is about 819.5120499419. The cubic root of 671600 is about 87.5730003042.

Adding to 671600 its reverse (6176), we get a palindrome (677776).

The spelling of 671600 in words is "six hundred seventy-one thousand, six hundred".