5638600 has 72 divisors (see below), whose sum is σ = 14471730. Its totient is φ = 2041600.

The previous prime is 5638537. The next prime is 5638601. The reversal of 5638600 is 68365.

It can be written as a sum of positive squares in 3 ways, for example, as 3334276 + 2304324 = 1826^2 + 1518^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5638601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24084 + ... + 24316.

Almost surely, 2^5638600 is an apocalyptic number.

5638600 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 5638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235865).

5638600 is an abundant number, since it is smaller than the sum of its proper divisors (8833130).

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

5638600 is a wasteful number, since it uses less digits than its factorization.

5638600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5638600 is about 2374.5736459415. The cubic root of 5638600 is about 177.9878794928.

The spelling of 5638600 in words is "five million, six hundred thirty-eight thousand, six hundred".