872230920 has 256 divisors, whose sum is σ = 2968289280. Its totient is φ = 204906240.

The previous prime is 872230897. The next prime is 872230939. The reversal of 872230920 is 29032278.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6867897 + ... + 6868023.

It is an arithmetic number, because the mean of its divisors is an integer number (11594880).

Almost surely, 2^872230920 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 872230920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484144640).

872230920 is an abundant number, since it is smaller than the sum of its proper divisors (2096058360).

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

872230920 is a wasteful number, since it uses less digits than its factorization.

872230920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 872230920 is about 29533.5558306141. Note that the first 3 decimals coincide. The cubic root of 872230920 is about 955.4555614572.

The spelling of 872230920 in words is "eight hundred seventy-two million, two hundred thirty thousand, nine hundred twenty".