331290624 has 96 divisors (see below), whose sum is σ = 1009532160. Its totient is φ = 94642176.

The previous prime is 331290607. The next prime is 331290629. The reversal of 331290624 is 426092133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 331290591 and 331290600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331290629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39157 + ... + 46859.

It is an arithmetic number, because the mean of its divisors is an integer number (10515960).

Almost surely, 2^331290624 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 331290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504766080).

331290624 is an abundant number, since it is smaller than the sum of its proper divisors (678241536).

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

331290624 is an equidigital number, since it uses as much as digits as its factorization.

331290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 331290624 is about 18201.3907160964. The cubic root of 331290624 is about 691.9420357521.

The spelling of 331290624 in words is "three hundred thirty-one million, two hundred ninety thousand, six hundred twenty-four".