872976096 has 96 divisors (see below), whose sum is σ = 2634055200. Its totient is φ = 280949760.

The previous prime is 872976079. The next prime is 872976101. The reversal of 872976096 is 690679278.

872976096 is a `hidden beast` number, since 8 + 7 + 29 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 42476.

It is an arithmetic number, because the mean of its divisors is an integer number (27438075).

Almost surely, 2^872976096 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 872976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317027600).

872976096 is an abundant number, since it is smaller than the sum of its proper divisors (1761079104).

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

872976096 is a wasteful number, since it uses less digits than its factorization.

872976096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34889 (or 34875 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 872976096 is about 29546.1688887070. The cubic root of 872976096 is about 955.7275765381.

The spelling of 872976096 in words is "eight hundred seventy-two million, nine hundred seventy-six thousand, ninety-six".