5305600 has 54 divisors (see below), whose sum is σ = 13148030. Its totient is φ = 2119680.

The previous prime is 5305591. The next prime is 5305613. The reversal of 5305600 is 65035.

It can be written as a sum of positive squares in 3 ways, for example, as 430336 + 4875264 = 656^2 + 2208^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5986 + ... + 6814.

Almost surely, 2^5305600 is an apocalyptic number.

5305600 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 5305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574015).

5305600 is an abundant number, since it is smaller than the sum of its proper divisors (7842430).

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

5305600 is an equidigital number, since it uses as much as digits as its factorization.

5305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5305600 is about 2303.3888078221. The cubic root of 5305600 is about 174.4127252730.

The spelling of 5305600 in words is "five million, three hundred five thousand, six hundred".