864317952 has 120 divisors (see below), whose sum is σ = 2587240656. Its totient is φ = 288064512.

The previous prime is 864317947. The next prime is 864317953. The reversal of 864317952 is 259713468.

It is a junction number, because it is equal to n+sod(n) for n = 864317898 and 864317907.

It is not an unprimeable number, because it can be changed into a prime (864317953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120943 + ... + 127889.

Almost surely, 2^864317952 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 864317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293620328).

864317952 is an abundant number, since it is smaller than the sum of its proper divisors (1722922704).

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

864317952 is an frugal number, since it uses more digits than its factorization.

864317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6952 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 864317952 is about 29399.2848892622. The cubic root of 864317952 is about 952.5574495698.

The spelling of 864317952 in words is "eight hundred sixty-four million, three hundred seventeen thousand, nine hundred fifty-two".