320374656 has 512 divisors, whose sum is σ = 1233792000. Its totient is φ = 79626240.

The previous prime is 320374597. The next prime is 320374657. The reversal of 320374656 is 656473023.

320374656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320374656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320374657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7813996 + ... + 7814036.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^320374656 is an apocalyptic number.

320374656 is a gapful number since it is divisible by the number (36) 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 320374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

320374656 is an abundant number, since it is smaller than the sum of its proper divisors (913417344).

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

320374656 is a wasteful number, since it uses less digits than its factorization.

320374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 320374656 is about 17899.0127102028. The cubic root of 320374656 is about 684.2572132062.

The spelling of 320374656 in words is "three hundred twenty million, three hundred seventy-four thousand, six hundred fifty-six".