864095364 has 252 divisors, whose sum is σ = 2605012480. Its totient is φ = 250192800.

The previous prime is 864095279. The next prime is 864095369. The reversal of 864095364 is 463590468.

It is not an unprimeable number, because it can be changed into a prime (864095369) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10937877 + ... + 10937955.

Almost surely, 2^864095364 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 864095364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302506240).

864095364 is an abundant number, since it is smaller than the sum of its proper divisors (1740917116).

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

864095364 is a wasteful number, since it uses less digits than its factorization.

864095364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 864095364 is about 29395.4990432209. The cubic root of 864095364 is about 952.4756717700.

The spelling of 864095364 in words is "eight hundred sixty-four million, ninety-five thousand, three hundred sixty-four".