685764000 has 288 divisors, whose sum is σ = 2495997504. Its totient is φ = 178214400.

The previous prime is 685763999. The next prime is 685764047. The reversal of 685764000 is 467586.

It is a happy number.

685764000 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 640 + 0 + 0 = 666.

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

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1547779 + ... + 1548221.

It is an arithmetic number, because the mean of its divisors is an integer number (8666658).

Almost surely, 2^685764000 is an apocalyptic number.

685764000 is a gapful number since it is divisible by the number (60) 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 685764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247998752).

685764000 is an abundant number, since it is smaller than the sum of its proper divisors (1810233504).

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

685764000 is a wasteful number, since it uses less digits than its factorization.

685764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 685764000 is about 26187.0960589371. The cubic root of 685764000 is about 881.8435868068.

The spelling of 685764000 in words is "six hundred eighty-five million, seven hundred sixty-four thousand".