670320 has 180 divisors, whose sum is σ = 2756520. Its totient is φ = 145152.

The previous prime is 670303. The next prime is 670321. The reversal of 670320 is 23076.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 670293 and 670302.

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 670320.

It is not an unprimeable number, because it can be changed into a prime (670321) by changing a digit.

670320 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 35 ways as a sum of consecutive naturals, for example, 35271 + ... + 35289.

It is an arithmetic number, because the mean of its divisors is an integer number (15314).

2⁶⁷⁰³²⁰ is an apocalyptic number.

670320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

670320 is an abundant number, since it is smaller than the sum of its proper divisors (2086200).

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

670320 is a wasteful number, since it uses less digits than its factorization.

670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 670320 is about 818.7307249640. The cubic root of 670320 is about 87.5173299008.

Adding to 670320 its reverse (23076), we get a palindrome (693396).

It can be divided in two parts, 670 and 320, that added together give a triangular number (990 = T₄₄).

The spelling of 670320 in words is "six hundred seventy thousand, three hundred twenty".