5553600 has 168 divisors, whose sum is σ = 19842480. Its totient is φ = 1351680.

The previous prime is 5553593. The next prime is 5553601. The reversal of 5553600 is 63555.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5553601) 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 23 ways as a sum of consecutive naturals, for example, 62356 + ... + 62444.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 2^5553600 is an apocalyptic number.

5553600 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 5553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921240).

5553600 is an abundant number, since it is smaller than the sum of its proper divisors (14288880).

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

5553600 is a wasteful number, since it uses less digits than its factorization.

5553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5553600 is about 2356.6077314649. The cubic root of 5553600 is about 177.0889782130.

The spelling of 5553600 in words is "five million, five hundred fifty-three thousand, six hundred".