966026304 has 112 divisors (see below), whose sum is σ = 2906207040. Its totient is φ = 314496000.

The previous prime is 966026287. The next prime is 966026333. The reversal of 966026304 is 403620669.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67804 + ... + 80804.

Almost surely, 2^966026304 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 966026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453103520).

966026304 is an abundant number, since it is smaller than the sum of its proper divisors (1940180736).

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

966026304 is a wasteful number, since it uses less digits than its factorization.

966026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13065 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 966026304 is about 31080.9636916232. The cubic root of 966026304 is about 988.5447121142.

The spelling of 966026304 in words is "nine hundred sixty-six million, twenty-six thousand, three hundred four".