864594432 has 320 divisors, whose sum is σ = 2928562560. Its totient is φ = 249495552.

The previous prime is 864594427. The next prime is 864594439. The reversal of 864594432 is 234495468.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864594439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054963 + ... + 3055245.

It is an arithmetic number, because the mean of its divisors is an integer number (9151758).

Almost surely, 2^864594432 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 864594432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464281280).

864594432 is an abundant number, since it is smaller than the sum of its proper divisors (2063968128).

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

864594432 is a wasteful number, since it uses less digits than its factorization.

864594432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 864594432 is about 29403.9866684775. The cubic root of 864594432 is about 952.6590074924.

The spelling of 864594432 in words is "eight hundred sixty-four million, five hundred ninety-four thousand, four hundred thirty-two".