870696960 has 192 divisors, whose sum is σ = 3184272000. Its totient is φ = 198967296.

The previous prime is 870696941. The next prime is 870696977. The reversal of 870696960 is 69696078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×870696960² = 1516226392306483200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213016 + ... + 217064.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 2^870696960 is an apocalyptic number.

870696960 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 870696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

870696960 is an abundant number, since it is smaller than the sum of its proper divisors (2313575040).

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

870696960 is a wasteful number, since it uses less digits than its factorization.

870696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 870696960 is about 29507.5746207648. The cubic root of 870696960 is about 954.8951247643.

The spelling of 870696960 in words is "eight hundred seventy million, six hundred ninety-six thousand, nine hundred sixty".