870600960 has 288 divisors, whose sum is σ = 3137621760. Its totient is φ = 231413760.

The previous prime is 870600943. The next prime is 870600961. The reversal of 870600960 is 69006078.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (870600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799205 + ... + 2799515.

It is an arithmetic number, because the mean of its divisors is an integer number (10894520).

Almost surely, 2^870600960 is an apocalyptic number.

870600960 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 870600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568810880).

870600960 is an abundant number, since it is smaller than the sum of its proper divisors (2267020800).

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

870600960 is an frugal number, since it uses more digits than its factorization.

870600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

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

The square root of 870600960 is about 29505.9478749624. The cubic root of 870600960 is about 954.8600290094.

The spelling of 870600960 in words is "eight hundred seventy million, six hundred thousand, nine hundred sixty".