870562560 has 288 divisors, whose sum is σ = 3214149120. Its totient is φ = 196706304.

The previous prime is 870562549. The next prime is 870562573. The reversal of 870562560 is 65265078.

It is a happy number.

870562560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3736204 + ... + 3736436.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^870562560 is an apocalyptic number.

870562560 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 870562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

870562560 is an abundant number, since it is smaller than the sum of its proper divisors (2343586560).

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

870562560 is a wasteful number, since it uses less digits than its factorization.

870562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 870562560 is about 29505.2971515286. The cubic root of 870562560 is about 954.8459899851.

The spelling of 870562560 in words is "eight hundred seventy million, five hundred sixty-two thousand, five hundred sixty".