870082560 has 240 divisors, whose sum is σ = 3121618500. Its totient is φ = 231800832.

The previous prime is 870082529. The next prime is 870082573. The reversal of 870082560 is 65280078.

It can be written as a sum of positive squares in 2 ways, for example, as 846111744 + 23970816 = 29088^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×870082560² = 1514087322432307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828916 + ... + 829964.

Almost surely, 2^870082560 is an apocalyptic number.

870082560 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 870082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560809250).

870082560 is an abundant number, since it is smaller than the sum of its proper divisors (2251535940).

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

870082560 is a wasteful number, since it uses less digits than its factorization.

870082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 870082560 is about 29497.1618973758. The cubic root of 870082560 is about 954.6704673375.

The spelling of 870082560 in words is "eight hundred seventy million, eighty-two thousand, five hundred sixty".