864953520 has 80 divisors (see below), whose sum is σ = 2690051040. Its totient is φ = 229906432.

The previous prime is 864953501. The next prime is 864953539. The reversal of 864953520 is 25359468.

It is an interprime number because it is at equal distance from previous prime (864953501) and next prime (864953539).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70396 + ... + 81764.

It is an arithmetic number, because the mean of its divisors is an integer number (33625638).

Almost surely, 2^864953520 is an apocalyptic number.

864953520 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 864953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345025520).

864953520 is an abundant number, since it is smaller than the sum of its proper divisors (1825097520).

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

864953520 is a wasteful number, since it uses less digits than its factorization.

864953520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 864953520 is about 29410.0921453844. The cubic root of 864953520 is about 952.7908770552.

The spelling of 864953520 in words is "eight hundred sixty-four million, nine hundred fifty-three thousand, five hundred twenty".