864988416 has 144 divisors (see below), whose sum is σ = 2669627520. Its totient is φ = 275742720.

The previous prime is 864988379. The next prime is 864988427. The reversal of 864988416 is 614889468.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156256 + ... + 161696.

It is an arithmetic number, because the mean of its divisors is an integer number (18539080).

Almost surely, 2^864988416 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 864988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334813760).

864988416 is an abundant number, since it is smaller than the sum of its proper divisors (1804639104).

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

864988416 is a wasteful number, since it uses less digits than its factorization.

864988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5469 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 864988416 is about 29410.6854051380. The cubic root of 864988416 is about 952.8036901303.

The spelling of 864988416 in words is "eight hundred sixty-four million, nine hundred eighty-eight thousand, four hundred sixteen".