331065160 has 64 divisors (see below), whose sum is σ = 789490800. Its totient is φ = 124723200.

The previous prime is 331065149. The next prime is 331065167. The reversal of 331065160 is 61560133.

It can be written as a sum of positive squares in 8 ways, for example, as 104080804 + 226984356 = 10202^2 + 15066^2 .

It is not an unprimeable number, because it can be changed into a prime (331065167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44080 + ... + 51040.

Almost surely, 2^331065160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394745400).

331065160 is an abundant number, since it is smaller than the sum of its proper divisors (458425640).

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

331065160 is a wasteful number, since it uses less digits than its factorization.

331065160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 331065160 is about 18195.1960692926. The cubic root of 331065160 is about 691.7850301782.

The spelling of 331065160 in words is "three hundred thirty-one million, sixty-five thousand, one hundred sixty".