864086680 has 32 divisors (see below), whose sum is σ = 1945167840. Its totient is φ = 345461760.

The previous prime is 864086633. The next prime is 864086687. The reversal of 864086680 is 86680468.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 864086680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864086687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101800 + ... + 109960.

It is an arithmetic number, because the mean of its divisors is an integer number (60786495).

Almost surely, 2^864086680 is an apocalyptic number.

It is an amenable number.

864086680 is an abundant number, since it is smaller than the sum of its proper divisors (1081081160).

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

864086680 is a wasteful number, since it uses less digits than its factorization.

864086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 864086680 is about 29395.3513331615. The cubic root of 864086680 is about 952.4724810240.

The spelling of 864086680 in words is "eight hundred sixty-four million, eighty-six thousand, six hundred eighty".