5635800 has 144 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1440000.

The previous prime is 5635733. The next prime is 5635801. The reversal of 5635800 is 85365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5635801) 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, 55750 + ... + 55850.

It is an arithmetic number, because the mean of its divisors is an integer number (137020).

Almost surely, 2^5635800 is an apocalyptic number.

5635800 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 5635800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

5635800 is an abundant number, since it is smaller than the sum of its proper divisors (14095080).

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

5635800 is a wasteful number, since it uses less digits than its factorization.

5635800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5635800 is about 2373.9839932064. The cubic root of 5635800 is about 177.9584130427.

The spelling of 5635800 in words is "five million, six hundred thirty-five thousand, eight hundred".