331564320 has 384 divisors, whose sum is σ = 1254113280. Its totient is φ = 81607680.

The previous prime is 331564319. The next prime is 331564339. The reversal of 331564320 is 23465133.

It is a happy number.

331564320 is a `hidden beast` number, since 3 + 3 + 15 + 643 + 2 + 0 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4669885 + ... + 4669955.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^331564320 is an apocalyptic number.

331564320 is a gapful number since it is divisible by the number (30) 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 331564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

331564320 is an abundant number, since it is smaller than the sum of its proper divisors (922548960).

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

331564320 is a wasteful number, since it uses less digits than its factorization.

331564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 331564320 is about 18208.9077102390. The cubic root of 331564320 is about 692.1325327810.

The spelling of 331564320 in words is "three hundred thirty-one million, five hundred sixty-four thousand, three hundred twenty".