864090504 has 96 divisors (see below), whose sum is σ = 2483601120. Its totient is φ = 281304576.

The previous prime is 864090503. The next prime is 864090511. The reversal of 864090504 is 405090468.

864090504 is a `hidden beast` number, since 8 + 64 + 0 + 90 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (864090503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78424 + ... + 88760.

It is an arithmetic number, because the mean of its divisors is an integer number (25870845).

Almost surely, 2^864090504 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 864090504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241800560).

864090504 is an abundant number, since it is smaller than the sum of its proper divisors (1619510616).

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

864090504 is a wasteful number, since it uses less digits than its factorization.

864090504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 864090504 is about 29395.4163773878. The cubic root of 864090504 is about 952.4738860718.

Subtracting from 864090504 its sum of digits (36), we obtain a palindrome (864090468).

The spelling of 864090504 in words is "eight hundred sixty-four million, ninety thousand, five hundred four".