870975000 has 432 divisors, whose sum is σ = 3473215200. Its totient is φ = 196560000.

The previous prime is 870974999. The next prime is 870975031. The reversal of 870975000 is 579078.

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 107 ways as a sum of consecutive naturals, for example, 11024961 + ... + 11025039.

It is an arithmetic number, because the mean of its divisors is an integer number (8039850).

Almost surely, 2^870975000 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 870975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

870975000 is an abundant number, since it is smaller than the sum of its proper divisors (2602240200).

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

870975000 is a wasteful number, since it uses less digits than its factorization.

870975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 870975000 is about 29512.2855773659. The cubic root of 870975000 is about 954.9967562914.

The spelling of 870975000 in words is "eight hundred seventy million, nine hundred seventy-five thousand".