5566400 has 126 divisors (see below), whose sum is σ = 16157448. Its totient is φ = 1881600.

The previous prime is 5566399. The next prime is 5566403. The reversal of 5566400 is 46655.

It is a self number, because there is not a number n which added to its sum of digits gives 5566400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78365 + ... + 78435.

Almost surely, 2^5566400 is an apocalyptic number.

5566400 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 5566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078724).

5566400 is an abundant number, since it is smaller than the sum of its proper divisors (10591048).

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

5566400 is a wasteful number, since it uses less digits than its factorization.

5566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5566400 is about 2359.3219364894. The cubic root of 5566400 is about 177.2249260474.

The spelling of 5566400 in words is "five million, five hundred sixty-six thousand, four hundred".