966131712 has 360 divisors, whose sum is σ = 3552561936. Its totient is φ = 254803968.

The previous prime is 966131693. The next prime is 966131791. The reversal of 966131712 is 217131669.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74317818 + ... + 74317830.

Almost surely, 2^966131712 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 966131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776280968).

966131712 is an abundant number, since it is smaller than the sum of its proper divisors (2586430224).

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

966131712 is an frugal number, since it uses more digits than its factorization.

966131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 966131712 is about 31082.6593456866. The cubic root of 966131712 is about 988.5806658389.

The spelling of 966131712 in words is "nine hundred sixty-six million, one hundred thirty-one thousand, seven hundred twelve".