870258816 has 288 divisors, whose sum is σ = 3026303280. Its totient is φ = 248209920.

The previous prime is 870258803. The next prime is 870258827. The reversal of 870258816 is 618852078.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523811 + ... + 1524381.

Almost surely, 2^870258816 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 870258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513151640).

870258816 is an abundant number, since it is smaller than the sum of its proper divisors (2156044464).

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

870258816 is an equidigital number, since it uses as much as digits as its factorization.

870258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 870258816 is about 29500.1494233504. The cubic root of 870258816 is about 954.7349267519.

The spelling of 870258816 in words is "eight hundred seventy million, two hundred fifty-eight thousand, eight hundred sixteen".