685653264 has 120 divisors (see below), whose sum is σ = 2003990040. Its totient is φ = 218566656.

The previous prime is 685653259. The next prime is 685653349. The reversal of 685653264 is 462356586.

685653264 is a `hidden beast` number, since 6 + 8 + 56 + 532 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100400400 + 585252864 = 10020^2 + 24192^2 .

Its product of digits (1036800) is a multiple of the sum of its prime divisors (1600).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471162 + ... + 472614.

It is an arithmetic number, because the mean of its divisors is an integer number (16699917).

Almost surely, 2^685653264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685653264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001995020).

685653264 is an abundant number, since it is smaller than the sum of its proper divisors (1318336776).

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

685653264 is a wasteful number, since it uses less digits than its factorization.

685653264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1600 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 685653264 is about 26184.9816497931. The cubic root of 685653264 is about 881.7961180526.

The spelling of 685653264 in words is "six hundred eighty-five million, six hundred fifty-three thousand, two hundred sixty-four".