872643456 has 160 divisors (see below), whose sum is σ = 2750291280. Its totient is φ = 273715200.

The previous prime is 872643451. The next prime is 872643469. The reversal of 872643456 is 654346278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872643451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173781 + ... + 178731.

Almost surely, 2^872643456 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 872643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375145640).

872643456 is an abundant number, since it is smaller than the sum of its proper divisors (1877647824).

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

872643456 is a wasteful number, since it uses less digits than its factorization.

872643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4973 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 872643456 is about 29540.5391961623. The cubic root of 872643456 is about 955.6061705377.

The spelling of 872643456 in words is "eight hundred seventy-two million, six hundred forty-three thousand, four hundred fifty-six".