331972560 has 160 divisors (see below), whose sum is σ = 1203792000. Its totient is φ = 83856384.

The previous prime is 331972559. The next prime is 331972573. The reversal of 331972560 is 65279133.

331972560 is a `hidden beast` number, since 3 + 3 + 1 + 97 + 2 + 560 = 666.

It is a super-2 number, since 2×331972560² = 220411561185907200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36996 + ... + 45084.

It is an arithmetic number, because the mean of its divisors is an integer number (7523700).

Almost surely, 2^331972560 is an apocalyptic number.

331972560 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 331972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601896000).

331972560 is an abundant number, since it is smaller than the sum of its proper divisors (871819440).

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

331972560 is a wasteful number, since it uses less digits than its factorization.

331972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 331972560 is about 18220.1141599058. The cubic root of 331972560 is about 692.4164799985.

The spelling of 331972560 in words is "three hundred thirty-one million, nine hundred seventy-two thousand, five hundred sixty".