864916992 has 60 divisors (see below), whose sum is σ = 2496222300. Its totient is φ = 288304128.

The previous prime is 864916991. The next prime is 864917033. The reversal of 864916992 is 299619468.

864916992 is a `hidden beast` number, since 8 + 6 + 491 + 69 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864916991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89242 + ... + 98457.

It is an arithmetic number, because the mean of its divisors is an integer number (41603705).

Almost surely, 2^864916992 is an apocalyptic number.

It is an amenable number.

864916992 is an abundant number, since it is smaller than the sum of its proper divisors (1631305308).

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

864916992 is a wasteful number, since it uses less digits than its factorization.

864916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187723 (or 187704 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 864916992 is about 29409.4711275126. The cubic root of 864916992 is about 952.7774643749. Note that the first 3 decimals are identical.

The spelling of 864916992 in words is "eight hundred sixty-four million, nine hundred sixteen thousand, nine hundred ninety-two".