685670400 has 384 divisors, whose sum is σ = 2600428800. Its totient is φ = 176947200.

The previous prime is 685670383. The next prime is 685670407. The reversal of 685670400 is 4076586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 (685670407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118385 + ... + 22118415.

It is an arithmetic number, because the mean of its divisors is an integer number (6771950).

Almost surely, 2^685670400 is an apocalyptic number.

685670400 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 685670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300214400).

685670400 is an abundant number, since it is smaller than the sum of its proper divisors (1914758400).

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

685670400 is an equidigital number, since it uses as much as digits as its factorization.

685670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

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

The square root of 685670400 is about 26185.3088582128. The cubic root of 685670400 is about 881.8034640068.

The spelling of 685670400 in words is "six hundred eighty-five million, six hundred seventy thousand, four hundred".