864879216 has 80 divisors (see below), whose sum is σ = 2392480800. Its totient is φ = 268263424.

The previous prime is 864879193. The next prime is 864879217. The reversal of 864879216 is 612978468.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864879217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66670 + ... + 78578.

It is an arithmetic number, because the mean of its divisors is an integer number (29906010).

Almost surely, 2^864879216 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 864879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196240400).

864879216 is an abundant number, since it is smaller than the sum of its proper divisors (1527601584).

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

864879216 is a wasteful number, since it uses less digits than its factorization.

864879216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026 (or 12020 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 864879216 is about 29408.8288784168. The cubic root of 864879216 is about 952.7635930455.

It can be divided in two parts, 86487 and 9216, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 864879216 in words is "eight hundred sixty-four million, eight hundred seventy-nine thousand, two hundred sixteen".