966752000 has 72 divisors (see below), whose sum is σ = 2408379792. Its totient is φ = 386688000.

The previous prime is 966751999. The next prime is 966752023. The reversal of 966752000 is 257669.

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, 16895 + ... + 47105.

Almost surely, 2^966752000 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 966752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204189896).

966752000 is an abundant number, since it is smaller than the sum of its proper divisors (1441627792).

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

966752000 is an equidigital number, since it uses as much as digits as its factorization.

966752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30242 (or 30218 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 966752000 is about 31092.6357840566. The cubic root of 966752000 is about 988.7921875637.

The spelling of 966752000 in words is "nine hundred sixty-six million, seven hundred fifty-two thousand".