872624064 has 84 divisors (see below), whose sum is σ = 2500173816. Its totient is φ = 268489728.

The previous prime is 872624057. The next prime is 872624083. The reversal of 872624064 is 460426278.

It is a super-2 number, since 2×872624064² = 1522945514143752192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19002 + ... + 45894.

It is an arithmetic number, because the mean of its divisors is an integer number (29763974).

Almost surely, 2^872624064 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 872624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250086908).

872624064 is an abundant number, since it is smaller than the sum of its proper divisors (1627549752).

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

872624064 is a wasteful number, since it uses less digits than its factorization.

872624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26934 (or 26911 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 872624064 is about 29540.2109674254. The cubic root of 872624064 is about 955.5990919490.

The spelling of 872624064 in words is "eight hundred seventy-two million, six hundred twenty-four thousand, sixty-four".