680311584 has 36 divisors (see below), whose sum is σ = 1934636886. Its totient is φ = 226770432.

The previous prime is 680311573. The next prime is 680311591. The reversal of 680311584 is 485113086.

680311584 is a `hidden beast` number, since 68 + 0 + 3 + 11 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 586995984 + 93315600 = 24228^2 + 9660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1180809 + ... + 1181384.

Almost surely, 2^680311584 is an apocalyptic number.

It is an amenable number.

680311584 is an abundant number, since it is smaller than the sum of its proper divisors (1254325302).

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

680311584 is a wasteful number, since it uses less digits than its factorization.

680311584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362209 (or 2362198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 680311584 is about 26082.7832870651. The cubic root of 680311584 is about 879.5002258613.

The spelling of 680311584 in words is "six hundred eighty million, three hundred eleven thousand, five hundred eighty-four".