966756672 has 126 divisors (see below), whose sum is σ = 3223541178. Its totient is φ = 276208128.

The previous prime is 966756667. The next prime is 966756691. The reversal of 966756672 is 276657669.

966756672 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 566 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 695693376 + 271063296 = 26376^2 + 16464^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11098 + ... + 45350.

Almost surely, 2^966756672 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 966756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611770589).

966756672 is an abundant number, since it is smaller than the sum of its proper divisors (2256784506).

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

966756672 is a wasteful number, since it uses less digits than its factorization.

966756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34285 (or 34265 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 966756672 is about 31092.7109142963. The cubic root of 966756672 is about 988.7937803989.

The spelling of 966756672 in words is "nine hundred sixty-six million, seven hundred fifty-six thousand, six hundred seventy-two".