864025560 has 192 divisors, whose sum is σ = 2875672800. Its totient is φ = 224944128.

The previous prime is 864025553. The next prime is 864025573. The reversal of 864025560 is 65520468.

864025560 is a `hidden beast` number, since 8 + 640 + 2 + 5 + 5 + 6 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 3806167 + ... + 3806393.

Almost surely, 2^864025560 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 864025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437836400).

864025560 is an abundant number, since it is smaller than the sum of its proper divisors (2011647240).

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

864025560 is a wasteful number, since it uses less digits than its factorization.

864025560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 864025560 is about 29394.3116946119. The cubic root of 864025560 is about 952.4500232112.

The spelling of 864025560 in words is "eight hundred sixty-four million, twenty-five thousand, five hundred sixty".