685725600 has 432 divisors, whose sum is σ = 2757198528. Its totient is φ = 147517440.

The previous prime is 685725587. The next prime is 685725643. The reversal of 685725600 is 6527586.

It is a happy number.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40336792 + ... + 40336808.

It is an arithmetic number, because the mean of its divisors is an integer number (6382404).

Almost surely, 2^685725600 is an apocalyptic number.

685725600 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 685725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378599264).

685725600 is an abundant number, since it is smaller than the sum of its proper divisors (2071472928).

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

685725600 is an equidigital number, since it uses as much as digits as its factorization.

685725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 685725600 is about 26186.3628631393. The cubic root of 685725600 is about 881.8271266126.

The spelling of 685725600 in words is "six hundred eighty-five million, seven hundred twenty-five thousand, six hundred".