872870160 has 80 divisors (see below), whose sum is σ = 2713826304. Its totient is φ = 232083456.

The previous prime is 872870153. The next prime is 872870183. The reversal of 872870160 is 61078278.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79569 + ... + 89871.

Almost surely, 2^872870160 is an apocalyptic number.

872870160 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 872870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356913152).

872870160 is an abundant number, since it is smaller than the sum of its proper divisors (1840956144).

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

872870160 is a wasteful number, since it uses less digits than its factorization.

872870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 872870160 is about 29544.3761145840. The cubic root of 872870160 is about 955.6889156658.

The spelling of 872870160 in words is "eight hundred seventy-two million, eight hundred seventy thousand, one hundred sixty".