5561600 has 108 divisors (see below), whose sum is σ = 15207360. Its totient is φ = 1996800.

The previous prime is 5561599. The next prime is 5561627. The reversal of 5561600 is 61655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70361 + ... + 70439.

Almost surely, 2^5561600 is an apocalyptic number.

5561600 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 5561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

5561600 is an abundant number, since it is smaller than the sum of its proper divisors (9645760).

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

5561600 is a wasteful number, since it uses less digits than its factorization.

5561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5561600 is about 2358.3044756774. The cubic root of 5561600 is about 177.1739700566.

Subtracting from 5561600 its reverse (61655), we obtain a palindrome (5499945).

The spelling of 5561600 in words is "five million, five hundred sixty-one thousand, six hundred".