870079560 has 128 divisors (see below), whose sum is σ = 2989440000. Its totient is φ = 198455040.

The previous prime is 870079543. The next prime is 870079571. The reversal of 870079560 is 65970078.

870079560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 579691 + ... + 581189.

It is an arithmetic number, because the mean of its divisors is an integer number (23355000).

Almost surely, 2^870079560 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 870079560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494720000).

870079560 is an abundant number, since it is smaller than the sum of its proper divisors (2119360440).

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

870079560 is a wasteful number, since it uses less digits than its factorization.

870079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 870079560 is about 29497.1110449820. Note that the first 3 decimals coincide. The cubic root of 870079560 is about 954.6693701179.

The spelling of 870079560 in words is "eight hundred seventy million, seventy-nine thousand, five hundred sixty".