966008736 has 360 divisors, whose sum is σ = 3523613184. Its totient is φ = 248935680.

The previous prime is 966008699. The next prime is 966008777. The reversal of 966008736 is 637800669.

966008736 is a `hidden beast` number, since 9 + 6 + 600 + 8 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 966008691 and 966008700.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7606305 + ... + 7606431.

Almost surely, 2^966008736 is an apocalyptic number.

966008736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966008736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761806592).

966008736 is an abundant number, since it is smaller than the sum of its proper divisors (2557604448).

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

966008736 is a wasteful number, since it uses less digits than its factorization.

966008736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 966008736 is about 31080.6810736187. The cubic root of 966008736 is about 988.5387195725.

The spelling of 966008736 in words is "nine hundred sixty-six million, eight thousand, seven hundred thirty-six".