5618800 has 60 divisors (see below), whose sum is σ = 14737896. Its totient is φ = 2041600.

The previous prime is 5618777. The next prime is 5618819. The reversal of 5618800 is 88165.

It is a happy number.

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, 3762 + ... + 5038.

Almost surely, 2^5618800 is an apocalyptic number.

5618800 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 5618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368948).

5618800 is an abundant number, since it is smaller than the sum of its proper divisors (9119096).

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

5618800 is a wasteful number, since it uses less digits than its factorization.

5618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5618800 is about 2370.4008099897. The cubic root of 5618800 is about 177.7792997555.

It can be divided in two parts, 5618 and 800, that multiplied together give a square (4494400 = 2120²).

The spelling of 5618800 in words is "five million, six hundred eighteen thousand, eight hundred".