966956016 has 40 divisors (see below), whose sum is σ = 2690122960. Its totient is φ = 297524736.

The previous prime is 966955991. The next prime is 966956063. The reversal of 966956016 is 610659669.

966956016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774181 + ... + 775428.

It is an arithmetic number, because the mean of its divisors is an integer number (67253074).

Almost surely, 2^966956016 is an apocalyptic number.

It is an amenable number.

966956016 is an abundant number, since it is smaller than the sum of its proper divisors (1723166944).

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

966956016 is a wasteful number, since it uses less digits than its factorization.

966956016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549633 (or 1549627 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 966956016 is about 31095.9163878475. The cubic root of 966956016 is about 988.8617384027.

The spelling of 966956016 in words is "nine hundred sixty-six million, nine hundred fifty-six thousand, sixteen".