966736960 has 224 divisors, whose sum is σ = 2844149760. Its totient is φ = 305430528.

The previous prime is 966736951. The next prime is 966736963. The reversal of 966736960 is 69637669.

966736960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 966736898 and 966736907.

It is not an unprimeable number, because it can be changed into a prime (966736963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018001 + ... + 2018479.

Almost surely, 2^966736960 is an apocalyptic number.

966736960 is the 25387-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422074880).

966736960 is an abundant number, since it is smaller than the sum of its proper divisors (1877412800).

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

966736960 is a wasteful number, since it uses less digits than its factorization.

966736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 52.

The square root of 966736960 is about 31092.3939252030. The cubic root of 966736960 is about 988.7870599089.

The spelling of 966736960 in words is "nine hundred sixty-six million, seven hundred thirty-six thousand, nine hundred sixty".