864487680 has 288 divisors, whose sum is σ = 3267129600. Its totient is φ = 190611456.

The previous prime is 864487661. The next prime is 864487699. The reversal of 864487680 is 86784468.

It is an interprime number because it is at equal distance from previous prime (864487661) and next prime (864487699).

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, 778966 + ... + 780074.

It is an arithmetic number, because the mean of its divisors is an integer number (11344200).

Almost surely, 2^864487680 is an apocalyptic number.

864487680 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 864487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633564800).

864487680 is an abundant number, since it is smaller than the sum of its proper divisors (2402641920).

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

864487680 is a wasteful number, since it uses less digits than its factorization.

864487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 864487680 is about 29402.1713483885. The cubic root of 864487680 is about 952.6197974163.

The spelling of 864487680 in words is "eight hundred sixty-four million, four hundred eighty-seven thousand, six hundred eighty".