864333504 has 168 divisors, whose sum is σ = 2593390800. Its totient is φ = 285410304.

The previous prime is 864333479. The next prime is 864333511. The reversal of 864333504 is 405333468.

864333504 is a `hidden beast` number, since 8 + 643 + 3 + 3 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×864333504² = 1494144812273836032, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 2317062 + ... + 2317434.

It is an arithmetic number, because the mean of its divisors is an integer number (15436850).

Almost surely, 2^864333504 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 864333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296695400).

864333504 is an abundant number, since it is smaller than the sum of its proper divisors (1729057296).

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

864333504 is a wasteful number, since it uses less digits than its factorization.

864333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 864333504 is about 29399.5493843018. The cubic root of 864333504 is about 952.5631627778.

Subtracting from 864333504 its sum of digits (36), we obtain a palindrome (864333468).

The spelling of 864333504 in words is "eight hundred sixty-four million, three hundred thirty-three thousand, five hundred four".