966152160 has 288 divisors, whose sum is σ = 3553647552. Its totient is φ = 238141440.

The previous prime is 966152123. The next prime is 966152189. The reversal of 966152160 is 61251669.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1492957 + ... + 1493603.

It is an arithmetic number, because the mean of its divisors is an integer number (12339054).

Almost surely, 2^966152160 is an apocalyptic number.

966152160 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 966152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776823776).

966152160 is an abundant number, since it is smaller than the sum of its proper divisors (2587495392).

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

966152160 is a wasteful number, since it uses less digits than its factorization.

966152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 966152160 is about 31082.9882733305. The cubic root of 966152160 is about 988.5876401657.

The spelling of 966152160 in words is "nine hundred sixty-six million, one hundred fifty-two thousand, one hundred sixty".