864883008 has 280 divisors, whose sum is σ = 2898830880. Its totient is φ = 252564480.

The previous prime is 864883003. The next prime is 864883057. The reversal of 864883008 is 800388468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864883003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653435 + ... + 1653957.

Almost surely, 2^864883008 is an apocalyptic number.

864883008 is a gapful number since it is divisible by the number (88) 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 864883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449415440).

864883008 is an abundant number, since it is smaller than the sum of its proper divisors (2033947872).

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

864883008 is a wasteful number, since it uses less digits than its factorization.

864883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 864883008 is about 29408.8933487814. The cubic root of 864883008 is about 952.7649854843.

The spelling of 864883008 in words is "eight hundred sixty-four million, eight hundred eighty-three thousand, eight".