868801920 has 256 divisors, whose sum is σ = 3196108800. Its totient is φ = 196632576.

The previous prime is 868801897. The next prime is 868801933. The reversal of 868801920 is 29108868.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1706626 + ... + 1707134.

It is an arithmetic number, because the mean of its divisors is an integer number (12484800).

Almost surely, 2^868801920 is an apocalyptic number.

868801920 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 868801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598054400).

868801920 is an abundant number, since it is smaller than the sum of its proper divisors (2327306880).

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

868801920 is a wasteful number, since it uses less digits than its factorization.

868801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 868801920 is about 29475.4460526045. The cubic root of 868801920 is about 954.2018568242.

The spelling of 868801920 in words is "eight hundred sixty-eight million, eight hundred one thousand, nine hundred twenty".