5596800 has 192 divisors, whose sum is σ = 20489760. Its totient is φ = 1331200.

The previous prime is 5596781. The next prime is 5596813. The reversal of 5596800 is 86955.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105574 + ... + 105626.

Almost surely, 2^5596800 is an apocalyptic number.

5596800 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 5596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880).

5596800 is an abundant number, since it is smaller than the sum of its proper divisors (14892960).

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

5596800 is a wasteful number, since it uses less digits than its factorization.

5596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5596800 is about 2365.7556932194. The cubic root of 5596800 is about 177.5469689893.

The spelling of 5596800 in words is "five million, five hundred ninety-six thousand, eight hundred".