868904960 has 416 divisors, whose sum is σ = 2830809600. Its totient is φ = 247726080.

The previous prime is 868904947. The next prime is 868905001. The reversal of 868904960 is 69409868.

It is a junction number, because it is equal to n+sod(n) for n = 868904899 and 868904908.

It is a congruent number.

It is an unprimeable number.

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, 29962226 + ... + 29962254.

Almost surely, 2^868904960 is an apocalyptic number.

868904960 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 868904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415404800).

868904960 is an abundant number, since it is smaller than the sum of its proper divisors (1961904640).

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

868904960 is a wasteful number, since it uses less digits than its factorization.

868904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 868904960 is about 29477.1938962989. The cubic root of 868904960 is about 954.2395781468.

The spelling of 868904960 in words is "eight hundred sixty-eight million, nine hundred four thousand, nine hundred sixty".