872835984 has 120 divisors (see below), whose sum is σ = 2583197760. Its totient is φ = 274358016.

The previous prime is 872835983. The next prime is 872836033. The reversal of 872835984 is 489538278.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 872835984.

It is not an unprimeable number, because it can be changed into a prime (872835983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718962 + ... + 720174.

It is an arithmetic number, because the mean of its divisors is an integer number (21526648).

Almost surely, 2^872835984 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 872835984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291598880).

872835984 is an abundant number, since it is smaller than the sum of its proper divisors (1710361776).

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

872835984 is a wasteful number, since it uses less digits than its factorization.

872835984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1500 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 872835984 is about 29543.7977247340. The cubic root of 872835984 is about 955.6764426192.

The spelling of 872835984 in words is "eight hundred seventy-two million, eight hundred thirty-five thousand, nine hundred eighty-four".