864933960 has 128 divisors (see below), whose sum is σ = 2979763200. Its totient is φ = 198639360.

The previous prime is 864933947. The next prime is 864934013. The reversal of 864933960 is 69339468.

It is a super-2 number, since 2×864933960² = 1496221510322563200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837 + ... + 42323.

It is an arithmetic number, because the mean of its divisors is an integer number (23279400).

Almost surely, 2^864933960 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 864933960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489881600).

864933960 is an abundant number, since it is smaller than the sum of its proper divisors (2114829240).

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

864933960 is a wasteful number, since it uses less digits than its factorization.

864933960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34531 (or 34527 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 864933960 is about 29409.7596045938. The cubic root of 864933960 is about 952.7836948850.

The spelling of 864933960 in words is "eight hundred sixty-four million, nine hundred thirty-three thousand, nine hundred sixty".