868920960 has 128 divisors (see below), whose sum is σ = 2828908800. Its totient is φ = 226758656.

The previous prime is 868920959. The next prime is 868921013. The reversal of 868920960 is 69029868.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 85426 + ... + 95054.

It is an arithmetic number, because the mean of its divisors is an integer number (22100850).

Almost surely, 2^868920960 is an apocalyptic number.

868920960 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 868920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414454400).

868920960 is an abundant number, since it is smaller than the sum of its proper divisors (1959987840).

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

868920960 is a wasteful number, since it uses less digits than its factorization.

868920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9698 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 868920960 is about 29477.4652913035. The cubic root of 868920960 is about 954.2454352276.

The spelling of 868920960 in words is "eight hundred sixty-eight million, nine hundred twenty thousand, nine hundred sixty".