870820512 has 96 divisors (see below), whose sum is σ = 2472083712. Its totient is φ = 267362304.

The previous prime is 870820499. The next prime is 870820513. The reversal of 870820512 is 215028078.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (870820513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71028 + ... + 82380.

It is an arithmetic number, because the mean of its divisors is an integer number (25750872).

Almost surely, 2^870820512 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 870820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236041856).

870820512 is an abundant number, since it is smaller than the sum of its proper divisors (1601263200).

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

870820512 is a wasteful number, since it uses less digits than its factorization.

870820512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 870820512 is about 29509.6681106379. The cubic root of 870820512 is about 954.9402892046.

The spelling of 870820512 in words is "eight hundred seventy million, eight hundred twenty thousand, five hundred twelve".