13601600 has 42 divisors (see below), whose sum is σ = 33472374. Its totient is φ = 5440000.

The previous prime is 13601593. The next prime is 13601611. The reversal of 13601600 is 610631.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 13601344 = 16^2 + 3688^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2651 + ... + 5850.

Almost surely, 2^13601600 is an apocalyptic number.

13601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13601600 is an abundant number, since it is smaller than the sum of its proper divisors (19870774).

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

13601600 is an equidigital number, since it uses as much as digits as its factorization.

13601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13601600 is about 3688.0347069950. The cubic root of 13601600 is about 238.7059986709.

The spelling of 13601600 in words is "thirteen million, six hundred one thousand, six hundred".