872361664 has 112 divisors (see below), whose sum is σ = 1943502336. Its totient is φ = 386355200.

The previous prime is 872361661. The next prime is 872361667. The reversal of 872361664 is 466163278.

It is an interprime number because it is at equal distance from previous prime (872361661) and next prime (872361667).

It is a super-2 number, since 2×872361664² = 1522029745633697792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872361664.

It is not an unprimeable number, because it can be changed into a prime (872361661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776459 + ... + 1776949.

Almost surely, 2^872361664 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 872361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971751168).

872361664 is an abundant number, since it is smaller than the sum of its proper divisors (1071140672).

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

872361664 is a wasteful number, since it uses less digits than its factorization.

872361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 872361664 is about 29535.7692298677. The cubic root of 872361664 is about 955.5032987547.

The spelling of 872361664 in words is "eight hundred seventy-two million, three hundred sixty-one thousand, six hundred sixty-four".