868792608 has 192 divisors, whose sum is σ = 2644992000. Its totient is φ = 277136640.

The previous prime is 868792571. The next prime is 868792609. The reversal of 868792608 is 806297868.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (868792609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4365693 + ... + 4365891.

It is an arithmetic number, because the mean of its divisors is an integer number (13776000).

Almost surely, 2^868792608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868792608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322496000).

868792608 is an abundant number, since it is smaller than the sum of its proper divisors (1776199392).

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

868792608 is a wasteful number, since it uses less digits than its factorization.

868792608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 868792608 is about 29475.2880901951. The cubic root of 868792608 is about 954.1984477006.

The spelling of 868792608 in words is "eight hundred sixty-eight million, seven hundred ninety-two thousand, six hundred eight".