872497920 has 216 divisors, whose sum is σ = 3242184624. Its totient is φ = 199385088.

The previous prime is 872497903. The next prime is 872497933. The reversal of 872497920 is 29794278.

It is a super-2 number, since 2×872497920² = 1522505240808652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 872497920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185842 + ... + 190478.

It is an arithmetic number, because the mean of its divisors is an integer number (15010114).

Almost surely, 2^872497920 is an apocalyptic number.

872497920 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 872497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621092312).

872497920 is an abundant number, since it is smaller than the sum of its proper divisors (2369686704).

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

872497920 is a wasteful number, since it uses less digits than its factorization.

872497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 872497920 is about 29538.0757667117. The cubic root of 872497920 is about 955.5530435204.

The spelling of 872497920 in words is "eight hundred seventy-two million, four hundred ninety-seven thousand, nine hundred twenty".