864364032 has 240 divisors, whose sum is σ = 2887053312. Its totient is φ = 243855360.

The previous prime is 864364021. The next prime is 864364073. The reversal of 864364032 is 230463468.

It is a happy number.

864364032 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 640 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096407 + ... + 4096617.

Almost surely, 2^864364032 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 864364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443526656).

864364032 is an abundant number, since it is smaller than the sum of its proper divisors (2022689280).

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

864364032 is a wasteful number, since it uses less digits than its factorization.

864364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 864364032 is about 29400.0685713486. The cubic root of 864364032 is about 952.5743773941.

The spelling of 864364032 in words is "eight hundred sixty-four million, three hundred sixty-four thousand, thirty-two".