331508640 has 192 divisors, whose sum is σ = 1083632256. Its totient is φ = 85143552.

The previous prime is 331508603. The next prime is 331508663. The reversal of 331508640 is 46805133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 331508598 and 331508607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111442 + ... + 2111598.

It is an arithmetic number, because the mean of its divisors is an integer number (5643918).

Almost surely, 2^331508640 is an apocalyptic number.

331508640 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 331508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541816128).

331508640 is an abundant number, since it is smaller than the sum of its proper divisors (752123616).

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

331508640 is a wasteful number, since it uses less digits than its factorization.

331508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 331508640 is about 18207.3787240229. The cubic root of 331508640 is about 692.0937870590.

The spelling of 331508640 in words is "three hundred thirty-one million, five hundred eight thousand, six hundred forty".