870598080 has 168 divisors, whose sum is σ = 3266840304. Its totient is φ = 211046400.

The previous prime is 870598007. The next prime is 870598129. The reversal of 870598080 is 80895078.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17940 + ... + 45420.

It is an arithmetic number, because the mean of its divisors is an integer number (19445478).

Almost surely, 2^870598080 is an apocalyptic number.

870598080 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 870598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633420152).

870598080 is an abundant number, since it is smaller than the sum of its proper divisors (2396242224).

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

870598080 is a wasteful number, since it uses less digits than its factorization.

870598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27515 (or 27502 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 870598080 is about 29505.8990712027. The cubic root of 870598080 is about 954.8589760969.

The spelling of 870598080 in words is "eight hundred seventy million, five hundred ninety-eight thousand, eighty".