966928320 has 112 divisors (see below), whose sum is σ = 3411138720. Its totient is φ = 257845248.

The previous prime is 966928279. The next prime is 966928351. The reversal of 966928320 is 23829669.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 47317 + ... + 64596.

Almost surely, 2^966928320 is an apocalyptic number.

966928320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966928320 is an abundant number, since it is smaller than the sum of its proper divisors (2444210400).

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

966928320 is a wasteful number, since it uses less digits than its factorization.

966928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111939 (or 111923 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 966928320 is about 31095.4710528720. The cubic root of 966928320 is about 988.8522971680.

The spelling of 966928320 in words is "nine hundred sixty-six million, nine hundred twenty-eight thousand, three hundred twenty".