5601600 has 126 divisors (see below), whose sum is σ = 19960590. Its totient is φ = 1489920.

The previous prime is 5601593. The next prime is 5601613. The reversal of 5601600 is 61065.

5601600 is a `hidden beast` number, since 5 + 60 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 5531904 = 264^2 + 2352^2 .

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 17 ways as a sum of consecutive naturals, for example, 14206 + ... + 14594.

Almost surely, 2^5601600 is an apocalyptic number.

5601600 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 5601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980295).

5601600 is an abundant number, since it is smaller than the sum of its proper divisors (14358990).

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

5601600 is a wasteful number, since it uses less digits than its factorization.

5601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5601600 is about 2366.7699507979. The cubic root of 5601600 is about 177.5977111952.

Adding to 5601600 its reverse (61065), we get a palindrome (5662665).

The spelling of 5601600 in words is "five million, six hundred one thousand, six hundred".