966610372 has 72 divisors (see below), whose sum is σ = 2102889600. Its totient is φ = 380659968.

The previous prime is 966610357. The next prime is 966610391. The reversal of 966610372 is 273016669.

It is a super-2 number, since 2×966610372² = 1868671222515956768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698504 + ... + 1699072.

It is an arithmetic number, because the mean of its divisors is an integer number (29206800).

Almost surely, 2^966610372 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 966610372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051444800).

966610372 is an abundant number, since it is smaller than the sum of its proper divisors (1136279228).

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

966610372 is a wasteful number, since it uses less digits than its factorization.

966610372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 966610372 is about 31090.3581838486. The cubic root of 966610372 is about 988.7438995853.

The spelling of 966610372 in words is "nine hundred sixty-six million, six hundred ten thousand, three hundred seventy-two".