5557200 has 120 divisors (see below), whose sum is σ = 19466016. Its totient is φ = 1344000.

The previous prime is 5557171. The next prime is 5557213. The reversal of 5557200 is 27555.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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, 12990 + ... + 13410.

Almost surely, 2^5557200 is an apocalyptic number.

5557200 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 5557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733008).

5557200 is an abundant number, since it is smaller than the sum of its proper divisors (13908816).

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

5557200 is a wasteful number, since it uses less digits than its factorization.

5557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 5557200 is about 2357.3714174903. The cubic root of 5557200 is about 177.1272346363.

The spelling of 5557200 in words is "five million, five hundred fifty-seven thousand, two hundred".