685312992 has 288 divisors, whose sum is σ = 2436295680. Its totient is φ = 177914880.

The previous prime is 685312987. The next prime is 685313003. The reversal of 685312992 is 299213586.

685312992 is a `hidden beast` number, since 6 + 8 + 531 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2070267 + ... + 2070597.

It is an arithmetic number, because the mean of its divisors is an integer number (8459360).

Almost surely, 2^685312992 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 685312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218147840).

685312992 is an abundant number, since it is smaller than the sum of its proper divisors (1750982688).

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

685312992 is a wasteful number, since it uses less digits than its factorization.

685312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 685312992 is about 26178.4833785305. The cubic root of 685312992 is about 881.6502230384.

The spelling of 685312992 in words is "six hundred eighty-five million, three hundred twelve thousand, nine hundred ninety-two".