5552800 has 72 divisors (see below), whose sum is σ = 14811552. Its totient is φ = 2016000.

The previous prime is 5552797. The next prime is 5552809. The reversal of 5552800 is 82555.

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

It is not an unprimeable number, because it can be changed into a prime (5552809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8485 + ... + 9115.

It is an arithmetic number, because the mean of its divisors is an integer number (205716).

Almost surely, 2^5552800 is an apocalyptic number.

5552800 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 5552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405776).

5552800 is an abundant number, since it is smaller than the sum of its proper divisors (9258752).

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

5552800 is a wasteful number, since it uses less digits than its factorization.

5552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5552800 is about 2356.4379898482. The cubic root of 5552800 is about 177.0804745405.

The spelling of 5552800 in words is "five million, five hundred fifty-two thousand, eight hundred".