872264160 has 192 divisors, whose sum is σ = 3213907200. Its totient is φ = 220340736.

The previous prime is 872264153. The next prime is 872264207. The reversal of 872264160 is 61462278.

872264160 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 641 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 76767 + ... + 87393.

It is an arithmetic number, because the mean of its divisors is an integer number (16739100).

Almost surely, 2^872264160 is an apocalyptic number.

872264160 is a gapful number since it is divisible by the number (80) 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 872264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606953600).

872264160 is an abundant number, since it is smaller than the sum of its proper divisors (2341643040).

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

872264160 is a wasteful number, since it uses less digits than its factorization.

872264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 872264160 is about 29534.1185749634. The cubic root of 872264160 is about 955.4676985105.

The spelling of 872264160 in words is "eight hundred seventy-two million, two hundred sixty-four thousand, one hundred sixty".