872932896 has 192 divisors, whose sum is σ = 2831552640. Its totient is φ = 259384320.

The previous prime is 872932889. The next prime is 872932909. The reversal of 872932896 is 698239278.

It is a happy number.

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

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, 502846 + ... + 504578.

It is an arithmetic number, because the mean of its divisors is an integer number (14747670).

Almost surely, 2^872932896 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 872932896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415776320).

872932896 is an abundant number, since it is smaller than the sum of its proper divisors (1958619744).

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

872932896 is a wasteful number, since it uses less digits than its factorization.

872932896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1802 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 872932896 is about 29545.4378204148. The cubic root of 872932896 is about 955.7118112678.

The spelling of 872932896 in words is "eight hundred seventy-two million, nine hundred thirty-two thousand, eight hundred ninety-six".