960008256 has 63 divisors (see below), whose sum is σ = 2753823423. Its totient is φ = 319754880.

The previous prime is 960008233. The next prime is 960008281. The reversal of 960008256 is 652800069.

The square root of 960008256 is 30984.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 960008256.

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, 742971 + ... + 744261.

Almost surely, 2^960008256 is an apocalyptic number.

960008256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

960008256 is the 30984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960008256

960008256 is an abundant number, since it is smaller than the sum of its proper divisors (1793815167).

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

960008256 is an equidigital number, since it uses as much as digits as its factorization.

960008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 960008256 is about 986.4876576473.

Multiplying 960008256 by its sum of digits (36), we get a square (34560297216 = 185904²).

960008256 divided by its sum of digits (36) gives a square (26666896 = 5164²).

The spelling of 960008256 in words is "nine hundred sixty million, eight thousand, two hundred fifty-six".