864680000 has 70 divisors (see below), whose sum is σ = 2144224566. Its totient is φ = 345856000.

The previous prime is 864679999. The next prime is 864680017. The reversal of 864680000 is 86468.

It can be written as a sum of positive squares in 5 ways, for example, as 488940544 + 375739456 = 22112^2 + 19384^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 9 ways as a sum of consecutive naturals, for example, 29192 + ... + 50808.

Almost surely, 2^864680000 is an apocalyptic number.

864680000 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 864680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072112283).

864680000 is an abundant number, since it is smaller than the sum of its proper divisors (1279544566).

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

864680000 is an equidigital number, since it uses as much as digits as its factorization.

864680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21649 (or 21624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 864680000 is about 29405.4416732686. The cubic root of 864680000 is about 952.6904343417.

Multiplying 864680000 by its reverse (86468), we get a square (74767150240000 = 8646800²).

864680000 divided by its reverse (86468) gives a 4-th power (10000 = 10⁴).

The spelling of 864680000 in words is "eight hundred sixty-four million, six hundred eighty thousand".