968799888 has 120 divisors (see below), whose sum is σ = 3133728000. Its totient is φ = 273664512.

The previous prime is 968799877. The next prime is 968799943. The reversal of 968799888 is 888997869.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84313 + ... + 95111.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^968799888 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 968799888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566864000).

968799888 is an abundant number, since it is smaller than the sum of its proper divisors (2164928112).

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

968799888 is a wasteful number, since it uses less digits than its factorization.

968799888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10900 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 72.

The square root of 968799888 is about 31125.5504047720. The cubic root of 968799888 is about 989.4898871863.

The spelling of 968799888 in words is "nine hundred sixty-eight million, seven hundred ninety-nine thousand, eight hundred eighty-eight".