864296784 has 160 divisors (see below), whose sum is σ = 2712743040. Its totient is φ = 261854208.

The previous prime is 864296753. The next prime is 864296803. The reversal of 864296784 is 487692468.

864296784 is a `hidden beast` number, since 86 + 429 + 67 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 864296784.

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 31 ways as a sum of consecutive naturals, for example, 375124 + ... + 377420.

It is an arithmetic number, because the mean of its divisors is an integer number (16954644).

Almost surely, 2^864296784 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 864296784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356371520).

864296784 is an abundant number, since it is smaller than the sum of its proper divisors (1848446256).

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

864296784 is a wasteful number, since it uses less digits than its factorization.

864296784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2382 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 864296784 is about 29398.9248783012. The cubic root of 864296784 is about 952.5496731488.

The spelling of 864296784 in words is "eight hundred sixty-four million, two hundred ninety-six thousand, seven hundred eighty-four".