5655600 has 90 divisors (see below), whose sum is σ = 19638996. Its totient is φ = 1507200.

The previous prime is 5655599. The next prime is 5655607. The reversal of 5655600 is 65565.

5655600 is a `hidden beast` number, since 5 + 6 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×5655600² = 63971622720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5655607) 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, 2815 + ... + 4385.

Almost surely, 2^5655600 is an apocalyptic number.

5655600 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 5655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819498).

5655600 is an abundant number, since it is smaller than the sum of its proper divisors (13983396).

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

5655600 is a wasteful number, since it uses less digits than its factorization.

5655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5655600 is about 2378.1505419128. The cubic root of 5655600 is about 178.1665738602.

The spelling of 5655600 in words is "five million, six hundred fifty-five thousand, six hundred".