870616320 has 288 divisors, whose sum is σ = 3247507200. Its totient is φ = 198696960.

The previous prime is 870616303. The next prime is 870616333. The reversal of 870616320 is 23616078.

It is a congruent number.

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, 1316790 + ... + 1317450.

Almost surely, 2^870616320 is an apocalyptic number.

870616320 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 870616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623753600).

870616320 is an abundant number, since it is smaller than the sum of its proper divisors (2376890880).

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

870616320 is an equidigital number, since it uses as much as digits as its factorization.

870616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 870616320 is about 29506.2081603177. The cubic root of 870616320 is about 954.8656445036.

The spelling of 870616320 in words is "eight hundred seventy million, six hundred sixteen thousand, three hundred twenty".