966215056 has 45 divisors (see below), whose sum is σ = 1980598401. Its totient is φ = 456561792.

The previous prime is 966215039. The next prime is 966215123. The reversal of 966215056 is 650512669.

The square root of 966215056 is 31084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 883040656 + 83174400 = 29716^2 + 9120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2362180 + ... + 2362588.

Almost surely, 2^966215056 is an apocalyptic number.

966215056 is the 31084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966215056

966215056 is an abundant number, since it is smaller than the sum of its proper divisors (1014383345).

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

966215056 is an equidigital number, since it uses as much as digits as its factorization.

966215056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The cubic root of 966215056 is about 988.6090918796.

The spelling of 966215056 in words is "nine hundred sixty-six million, two hundred fifteen thousand, fifty-six".