872411648 has 80 divisors (see below), whose sum is σ = 1792492416. Its totient is φ = 424058880.

The previous prime is 872411647. The next prime is 872411663. The reversal of 872411648 is 846114278.

It is a super-2 number, since 2×872411648² = 1522204167132151808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872411647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3744140 + ... + 3744372.

Almost surely, 2^872411648 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 872411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896246208).

872411648 is an abundant number, since it is smaller than the sum of its proper divisors (920080768).

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

872411648 is a wasteful number, since it uses less digits than its factorization.

872411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 872411648 is about 29536.6153782047. The cubic root of 872411648 is about 955.5215476710.

The spelling of 872411648 in words is "eight hundred seventy-two million, four hundred eleven thousand, six hundred forty-eight".