5205600 has 144 divisors (see below), whose sum is σ = 18905040. Its totient is φ = 1382400.

The previous prime is 5205593. The next prime is 5205617. The reversal of 5205600 is 65025.

5205600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21480 + ... + 21720.

It is an arithmetic number, because the mean of its divisors is an integer number (131285).

Almost surely, 2^5205600 is an apocalyptic number.

5205600 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 5205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452520).

5205600 is an abundant number, since it is smaller than the sum of its proper divisors (13699440).

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

5205600 is a wasteful number, since it uses less digits than its factorization.

5205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5205600 is about 2281.5784010198. The cubic root of 5205600 is about 173.3099902819.

The spelling of 5205600 in words is "five million, two hundred five thousand, six hundred".