331616320 has 84 divisors (see below), whose sum is σ = 918629100. Its totient is φ = 113691648.

The previous prime is 331616317. The next prime is 331616321. The reversal of 331616320 is 23616133.

It can be written as a sum of positive squares in 2 ways, for example, as 71503936 + 260112384 = 8456^2 + 16128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331616321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5106 + ... + 26254.

Almost surely, 2^331616320 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 331616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459314550).

331616320 is an abundant number, since it is smaller than the sum of its proper divisors (587012780).

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

331616320 is a wasteful number, since it uses less digits than its factorization.

331616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21180 (or 21163 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 331616320 is about 18210.3355268375. The cubic root of 331616320 is about 692.1687138055.

The spelling of 331616320 in words is "three hundred thirty-one million, six hundred sixteen thousand, three hundred twenty".