864425520 has 800 divisors, whose sum is σ = 3889036800. Its totient is φ = 173187072.

The previous prime is 864425459. The next prime is 864425531. The reversal of 864425520 is 25524468.

It is a happy number.

864425520 is a `hidden beast` number, since 8 + 64 + 42 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14651251 + ... + 14651309.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^864425520 is an apocalyptic number.

864425520 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 864425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944518400).

864425520 is an abundant number, since it is smaller than the sum of its proper divisors (3024611280).

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

864425520 is a wasteful number, since it uses less digits than its factorization.

864425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 864425520 is about 29401.1142645989. The cubic root of 864425520 is about 952.5969645226.

Adding to 864425520 its reverse (25524468), we get a palindrome (889949988).

The spelling of 864425520 in words is "eight hundred sixty-four million, four hundred twenty-five thousand, five hundred twenty".