872968008 has 64 divisors (see below), whose sum is σ = 2388798720. Its totient is φ = 263649600.

The previous prime is 872968007. The next prime is 872968027. The reversal of 872968008 is 800869278.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (872968001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75663 + ... + 86433.

It is an arithmetic number, because the mean of its divisors is an integer number (37324980).

Almost surely, 2^872968008 is an apocalyptic number.

872968008 is a gapful number since it is divisible by the number (88) 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 872968008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194399360).

872968008 is an abundant number, since it is smaller than the sum of its proper divisors (1515830712).

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

872968008 is a wasteful number, since it uses less digits than its factorization.

872968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11098 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 872968008 is about 29546.0320178531. The cubic root of 872968008 is about 955.7246249688.

The spelling of 872968008 in words is "eight hundred seventy-two million, nine hundred sixty-eight thousand, eight".