5605200 has 150 divisors (see below), whose sum is σ = 20232894. Its totient is φ = 1486080.

The previous prime is 5605183. The next prime is 5605217. The reversal of 5605200 is 25065.

5605200 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (5605183) and next prime (5605217).

It can be written as a sum of positive squares in 3 ways, for example, as 1245456 + 4359744 = 1116^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 32314 + ... + 32486.

Almost surely, 2^5605200 is an apocalyptic number.

5605200 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 5605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116447).

5605200 is an abundant number, since it is smaller than the sum of its proper divisors (14627694).

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

5605200 is a wasteful number, since it uses less digits than its factorization.

5605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

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

The square root of 5605200 is about 2367.5303588339. The cubic root of 5605200 is about 177.6357488300.

The spelling of 5605200 in words is "five million, six hundred five thousand, two hundred".