5685400 has 96 divisors (see below), whose sum is σ = 15713280. Its totient is φ = 1872000.

The previous prime is 5685397. The next prime is 5685403. The reversal of 5685400 is 45865.

5685400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5685397) and next prime (5685403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685403) 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, 43335 + ... + 43465.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^5685400 is an apocalyptic number.

5685400 is a gapful number since it is divisible by the number (50) 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 5685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856640).

5685400 is an abundant number, since it is smaller than the sum of its proper divisors (10027880).

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

5685400 is a wasteful number, since it uses less digits than its factorization.

5685400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5685400 is about 2384.4076832622. The cubic root of 5685400 is about 178.4789524990.

The spelling of 5685400 in words is "five million, six hundred eighty-five thousand, four hundred".