685760400 has 180 divisors, whose sum is σ = 2563013908. Its totient is φ = 168791040.

The previous prime is 685760381. The next prime is 685760401. The reversal of 685760400 is 4067586.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19501056 + 666259344 = 4416^2 + 25812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (685760401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39474 + ... + 54126.

Almost surely, 2^685760400 is an apocalyptic number.

685760400 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 685760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281506954).

685760400 is an abundant number, since it is smaller than the sum of its proper divisors (1877253508).

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

685760400 is a wasteful number, since it uses less digits than its factorization.

685760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14676 counting only the distinct ones).

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

The square root of 685760400 is about 26187.0273227031. The cubic root of 685760400 is about 881.8420436897.

The spelling of 685760400 in words is "six hundred eighty-five million, seven hundred sixty thousand, four hundred".