872234496 has 180 divisors, whose sum is σ = 2929078152. Its totient is φ = 249145344.

The previous prime is 872234477. The next prime is 872234513. The reversal of 872234496 is 694432278.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223861 + ... + 227723.

Almost surely, 2^872234496 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 872234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464539076).

872234496 is an abundant number, since it is smaller than the sum of its proper divisors (2056843656).

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

872234496 is a wasteful number, since it uses less digits than its factorization.

872234496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3875 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 872234496 is about 29533.6163718567. The cubic root of 872234496 is about 955.4568671911.

It can be divided in two parts, 87223 and 4496, that added together give a palindrome (91719).

The spelling of 872234496 in words is "eight hundred seventy-two million, two hundred thirty-four thousand, four hundred ninety-six".