864031104 has 256 divisors, whose sum is σ = 2720952000. Its totient is φ = 269402112.

The previous prime is 864031097. The next prime is 864031151. The reversal of 864031104 is 401130468.

864031104 is a `hidden beast` number, since 8 + 640 + 3 + 1 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708172 + ... + 3708404.

Almost surely, 2^864031104 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 864031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360476000).

864031104 is an abundant number, since it is smaller than the sum of its proper divisors (1856920896).

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

864031104 is a wasteful number, since it uses less digits than its factorization.

864031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 864031104 is about 29394.4059984209. The cubic root of 864031104 is about 952.4520603313.

The spelling of 864031104 in words is "eight hundred sixty-four million, thirty-one thousand, one hundred four".