5685200 has 60 divisors (see below), whose sum is σ = 13942188. Its totient is φ = 2227200.

The previous prime is 5685179. The next prime is 5685203. The reversal of 5685200 is 25865.

5685200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1827904 + 3857296 = 1352^2 + 1964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5685200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24284 + ... + 24516.

Almost surely, 2^5685200 is an apocalyptic number.

5685200 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 5685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971094).

5685200 is an abundant number, since it is smaller than the sum of its proper divisors (8256988).

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

5685200 is a wasteful number, since it uses less digits than its factorization.

5685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5685200 is about 2384.3657437566. The cubic root of 5685200 is about 178.4768596407.

It can be divided in two parts, 5685 and 200, that added together give a palindrome (5885).

The spelling of 5685200 in words is "five million, six hundred eighty-five thousand, two hundred".