5516800 has 60 divisors (see below), whose sum is σ = 13700016. Its totient is φ = 2201600.

The previous prime is 5516767. The next prime is 5516801. The reversal of 5516800 is 86155.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12585 + ... + 13015.

Almost surely, 2^5516800 is an apocalyptic number.

5516800 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 5516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850008).

5516800 is an abundant number, since it is smaller than the sum of its proper divisors (8183216).

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

5516800 is an equidigital number, since it uses as much as digits as its factorization.

5516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 5516800 is about 2348.7869209445. The cubic root of 5516800 is about 176.6969609060.

The spelling of 5516800 in words is "five million, five hundred sixteen thousand, eight hundred".