965630160 has 800 divisors, whose sum is σ = 4148305920. Its totient is φ = 205286400.

The previous prime is 965630147. The next prime is 965630173. The reversal of 965630160 is 61036569.

965630160 is a `hidden beast` number, since 9 + 6 + 5 + 630 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (965630147) and next prime (965630173).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31149345 + ... + 31149375.

Almost surely, 2^965630160 is an apocalyptic number.

965630160 is a gapful number since it is divisible by the number (90) 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 965630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074152960).

965630160 is an abundant number, since it is smaller than the sum of its proper divisors (3182675760).

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

965630160 is a wasteful number, since it uses less digits than its factorization.

965630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 965630160 is about 31074.5902627854. The cubic root of 965630160 is about 988.4095675547.

The spelling of 965630160 in words is "nine hundred sixty-five million, six hundred thirty thousand, one hundred sixty".