868008960 has 880 divisors, whose sum is σ = 3994695936. Its totient is φ = 175177728.

The previous prime is 868008923. The next prime is 868009027. The reversal of 868008960 is 69800868.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739509 + ... + 37739531.

Almost surely, 2^868008960 is an apocalyptic number.

868008960 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 868008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997347968).

868008960 is an abundant number, since it is smaller than the sum of its proper divisors (3126686976).

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

868008960 is a wasteful number, since it uses less digits than its factorization.

868008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 868008960 is about 29461.9917860283. The cubic root of 868008960 is about 953.9114668050.

The spelling of 868008960 in words is "eight hundred sixty-eight million, eight thousand, nine hundred sixty".