864921072 has 160 divisors (see below), whose sum is σ = 2422702080. Its totient is φ = 265224960.

The previous prime is 864921047. The next prime is 864921103. The reversal of 864921072 is 270129468.

It is a self number, because there is not a number n which added to its sum of digits gives 864921072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4099047 + ... + 4099257.

It is an arithmetic number, because the mean of its divisors is an integer number (15141888).

Almost surely, 2^864921072 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 864921072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211351040).

864921072 is an abundant number, since it is smaller than the sum of its proper divisors (1557781008).

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

864921072 is a wasteful number, since it uses less digits than its factorization.

864921072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 864921072 is about 29409.5404928401. The cubic root of 864921072 is about 952.7789625248.

The spelling of 864921072 in words is "eight hundred sixty-four million, nine hundred twenty-one thousand, seventy-two".