864627520 has 56 divisors (see below), whose sum is σ = 2062849824. Its totient is φ = 345186816.

The previous prime is 864627493. The next prime is 864627521. The reversal of 864627520 is 25726468.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864627521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185539 + ... + 190141.

It is an arithmetic number, because the mean of its divisors is an integer number (36836604).

Almost surely, 2^864627520 is an apocalyptic number.

864627520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031424912).

864627520 is an abundant number, since it is smaller than the sum of its proper divisors (1198222304).

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

864627520 is a wasteful number, since it uses less digits than its factorization.

864627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 864627520 is about 29404.5493078877. The cubic root of 864627520 is about 952.6711600801.

The spelling of 864627520 in words is "eight hundred sixty-four million, six hundred twenty-seven thousand, five hundred twenty".