5536800 has 108 divisors (see below), whose sum is σ = 19549530. Its totient is φ = 1474560.

The previous prime is 5536789. The next prime is 5536807. The reversal of 5536800 is 86355.

It can be written as a sum of positive squares in 3 ways, for example, as 3825936 + 1710864 = 1956^2 + 1308^2 .

It is not an unprimeable number, because it can be changed into a prime (5536807) 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, 6816 + ... + 7584.

Almost surely, 2^5536800 is an apocalyptic number.

5536800 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 5536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774765).

5536800 is an abundant number, since it is smaller than the sum of its proper divisors (14012730).

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

5536800 is a wasteful number, since it uses less digits than its factorization.

5536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

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

The square root of 5536800 is about 2353.0405861353. The cubic root of 5536800 is about 176.9102293031.

It can be divided in two parts, 5536 and 800, that added together give a palindrome (6336).

The spelling of 5536800 in words is "five million, five hundred thirty-six thousand, eight hundred".