872031160 has 256 divisors, whose sum is σ = 2728857600. Its totient is φ = 241920000.

The previous prime is 872031157. The next prime is 872031203. The reversal of 872031160 is 61130278.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160785 + ... + 1161535.

It is an arithmetic number, because the mean of its divisors is an integer number (10659600).

Almost surely, 2^872031160 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 872031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364428800).

872031160 is an abundant number, since it is smaller than the sum of its proper divisors (1856826440).

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

872031160 is a wasteful number, since it uses less digits than its factorization.

872031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 872031160 is about 29530.1737211280. The cubic root of 872031160 is about 955.3826157992.

The spelling of 872031160 in words is "eight hundred seventy-two million, thirty-one thousand, one hundred sixty".