5537600 has 42 divisors (see below), whose sum is σ = 13629894. Its totient is φ = 2214400.

The previous prime is 5537593. The next prime is 5537603. The reversal of 5537600 is 67355.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 5494336 = 208^2 + 2344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5537600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5537603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 3330.

Almost surely, 2^5537600 is an apocalyptic number.

5537600 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 5537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814947).

5537600 is an abundant number, since it is smaller than the sum of its proper divisors (8092294).

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

5537600 is a wasteful number, since it uses less digits than its factorization.

5537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 5537600 is about 2353.2105728132. The cubic root of 5537600 is about 176.9187493489.

The spelling of 5537600 in words is "five million, five hundred thirty-seven thousand, six hundred".