960825312 has 72 divisors (see below), whose sum is σ = 2893088016. Its totient is φ = 301433856.

The previous prime is 960825301. The next prime is 960825337. The reversal of 960825312 is 213528069.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93228 + ... + 103019.

It is an arithmetic number, because the mean of its divisors is an integer number (40181778).

Almost surely, 2^960825312 is an apocalyptic number.

It is an amenable number.

960825312 is an abundant number, since it is smaller than the sum of its proper divisors (1932262704).

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

960825312 is a wasteful number, since it uses less digits than its factorization.

960825312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196280 (or 196269 counting only the distinct ones).

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

The square root of 960825312 is about 30997.1823235597. The cubic root of 960825312 is about 986.7674424296.

The spelling of 960825312 in words is "nine hundred sixty million, eight hundred twenty-five thousand, three hundred twelve".