957809216 has 224 divisors, whose sum is σ = 2488631040. Its totient is φ = 355590144.

The previous prime is 957809213. The next prime is 957809227. The reversal of 957809216 is 612908759.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (957809213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8951435 + ... + 8951541.

It is an arithmetic number, because the mean of its divisors is an integer number (11109960).

Almost surely, 2^957809216 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 957809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244315520).

957809216 is an abundant number, since it is smaller than the sum of its proper divisors (1530821824).

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

957809216 is a wasteful number, since it uses less digits than its factorization.

957809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 957809216 is about 30948.4929520001. The cubic root of 957809216 is about 985.7338501313.

The spelling of 957809216 in words is "nine hundred fifty-seven million, eight hundred nine thousand, two hundred sixteen".