875162160 has 120 divisors (see below), whose sum is σ = 2967872544. Its totient is φ = 231091200.

The previous prime is 875162153. The next prime is 875162177. The reversal of 875162160 is 61261578.

875162160 is a `hidden beast` number, since 87 + 516 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68260 + ... + 80060.

Almost surely, 2^875162160 is an apocalyptic number.

875162160 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 875162160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483936272).

875162160 is an abundant number, since it is smaller than the sum of its proper divisors (2092710384).

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

875162160 is a wasteful number, since it uses less digits than its factorization.

875162160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11923 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 875162160 is about 29583.1397927941. The cubic root of 875162160 is about 956.5246736262.

It can be divided in two parts, 87516 and 2160, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 875162160 in words is "eight hundred seventy-five million, one hundred sixty-two thousand, one hundred sixty".