5609600 has 48 divisors (see below), whose sum is σ = 13865370. Its totient is φ = 2242560.

The previous prime is 5609587. The next prime is 5609627. The reversal of 5609600 is 69065.

It can be written as a sum of positive squares in 3 ways, for example, as 2483776 + 3125824 = 1576^2 + 1768^2 .

It is a super-2 number, since 2×5609600² = 62935224320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5609600.

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, 2324 + ... + 4076.

Almost surely, 2^5609600 is an apocalyptic number.

5609600 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 5609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932685).

5609600 is an abundant number, since it is smaller than the sum of its proper divisors (8255770).

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

5609600 is a wasteful number, since it uses less digits than its factorization.

5609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5609600 is about 2368.4594148940. The cubic root of 5609600 is about 177.6822171612.

The spelling of 5609600 in words is "five million, six hundred nine thousand, six hundred".