870312960 has 528 divisors, whose sum is σ = 3517761312. Its totient is φ = 196608000.

The previous prime is 870312931. The next prime is 870312967. The reversal of 870312960 is 69213078.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (870312967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8616910 + ... + 8617010.

Almost surely, 2^870312960 is an apocalyptic number.

870312960 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 870312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758880656).

870312960 is an abundant number, since it is smaller than the sum of its proper divisors (2647448352).

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

870312960 is a wasteful number, since it uses less digits than its factorization.

870312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 870312960 is about 29501.0670993441. The cubic root of 870312960 is about 954.7547262625.

The spelling of 870312960 in words is "eight hundred seventy million, three hundred twelve thousand, nine hundred sixty".