872946624 has 112 divisors (see below), whose sum is σ = 2587971456. Its totient is φ = 257356800.

The previous prime is 872946593. The next prime is 872946643. The reversal of 872946624 is 426649278.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72559 + ... + 83729.

It is an arithmetic number, because the mean of its divisors is an integer number (23106888).

Almost surely, 2^872946624 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 872946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293985728).

872946624 is an abundant number, since it is smaller than the sum of its proper divisors (1715024832).

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

872946624 is a wasteful number, since it uses less digits than its factorization.

872946624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 11224 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 872946624 is about 29545.6701396330. The cubic root of 872946624 is about 955.7168211768.

The spelling of 872946624 in words is "eight hundred seventy-two million, nine hundred forty-six thousand, six hundred twenty-four".