685767456 has 144 divisors (see below), whose sum is σ = 2239604640. Its totient is φ = 196853760.

The previous prime is 685767451. The next prime is 685767463. The reversal of 685767456 is 654767586.

685767456 is a `hidden beast` number, since 68 + 576 + 7 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (685767451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54496 + ... + 65888.

It is an arithmetic number, because the mean of its divisors is an integer number (15552810).

Almost surely, 2^685767456 is an apocalyptic number.

685767456 is a gapful number since it is divisible by the number (66) 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 685767456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119802320).

685767456 is an abundant number, since it is smaller than the sum of its proper divisors (1553837184).

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

685767456 is a wasteful number, since it uses less digits than its factorization.

685767456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11428 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 685767456 is about 26187.1620455520. The cubic root of 685767456 is about 881.8450681941.

The spelling of 685767456 in words is "six hundred eighty-five million, seven hundred sixty-seven thousand, four hundred fifty-six".