5508800 has 84 divisors (see below), whose sum is σ = 14834616. Its totient is φ = 1996800.

The previous prime is 5508791. The next prime is 5508827. The reversal of 5508800 is 88055.

It is a self number, because there is not a number n which added to its sum of digits gives 5508800.

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, 17444 + ... + 17756.

Almost surely, 2^5508800 is an apocalyptic number.

5508800 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 5508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417308).

5508800 is an abundant number, since it is smaller than the sum of its proper divisors (9325816).

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

5508800 is a wasteful number, since it uses less digits than its factorization.

5508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 5508800 is about 2347.0832963489. The cubic root of 5508800 is about 176.6115092238.

5508800 divided by its product of nonzero digits (1600) gives a palindrome (3443).

It can be divided in two parts, 550 and 8800, that multiplied together give a square (4840000 = 2200²).

The spelling of 5508800 in words is "five million, five hundred eight thousand, eight hundred".