331985160 has 96 divisors (see below), whose sum is σ = 1161964440. Its totient is φ = 81718272.

The previous prime is 331985149. The next prime is 331985167. The reversal of 331985160 is 61589133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160427556 + 171557604 = 12666^2 + 13098^2 .

It is a super-2 number, since 2×331985160² = 220428292920451200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331985167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30789 + ... + 40148.

Almost surely, 2^331985160 is an apocalyptic number.

331985160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331985160 is an abundant number, since it is smaller than the sum of its proper divisors (829979280).

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

331985160 is a wasteful number, since it uses less digits than its factorization.

331985160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70967 (or 70960 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 331985160 is about 18220.4599283333. The cubic root of 331985160 is about 692.4252400973.

The spelling of 331985160 in words is "three hundred thirty-one million, nine hundred eighty-five thousand, one hundred sixty".