331157640 has 96 divisors (see below), whose sum is σ = 1092047040. Its totient is φ = 80277120.

The previous prime is 331157627. The next prime is 331157653. The reversal of 331157640 is 46751133.

It is an interprime number because it is at equal distance from previous prime (331157627) and next prime (331157653).

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 = 331157598 and 331157607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117 + ... + 25923.

It is an arithmetic number, because the mean of its divisors is an integer number (11375490).

Almost surely, 2^331157640 is an apocalyptic number.

331157640 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 331157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546023520).

331157640 is an abundant number, since it is smaller than the sum of its proper divisors (760889400).

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

331157640 is a wasteful number, since it uses less digits than its factorization.

331157640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22843 (or 22828 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 331157640 is about 18197.7372219735. The cubic root of 331157640 is about 691.8494387712.

It can be divided in two parts, 33115 and 7640, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 331157640 in words is "three hundred thirty-one million, one hundred fifty-seven thousand, six hundred forty".