13445600 has 108 divisors (see below), whose sum is σ = 38294424. Its totient is φ = 4609920.

The previous prime is 13445587. The next prime is 13445629. The reversal of 13445600 is 654431.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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 17 ways as a sum of consecutive naturals, for example, 1920797 + ... + 1920803.

It is an arithmetic number, because the mean of its divisors is an integer number (354578).

Almost surely, 2^13445600 is an apocalyptic number.

13445600 is a gapful number since it is divisible by the number (10) 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 13445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147212).

13445600 is an abundant number, since it is smaller than the sum of its proper divisors (24848824).

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

13445600 is an frugal number, since it uses more digits than its factorization.

13445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 13445600 is about 3666.8242390385. The cubic root of 13445600 is about 237.7898953139.

The spelling of 13445600 in words is "thirteen million, four hundred forty-five thousand, six hundred".