11445600 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 2880000.

The previous prime is 11445593. The next prime is 11445647. The reversal of 11445600 is 654411.

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 23 ways as a sum of consecutive naturals, for example, 45475 + ... + 45725.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^11445600 is an apocalyptic number.

11445600 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 11445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

11445600 is an abundant number, since it is smaller than the sum of its proper divisors (27926880).

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

11445600 is a wasteful number, since it uses less digits than its factorization.

11445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11445600 is about 3383.1346411280. The cubic root of 11445600 is about 225.3613945267.

It can be divided in two parts, 114 and 45600, that multiplied together give a square (5198400 = 2280²).

The spelling of 11445600 in words is "eleven million, four hundred forty-five thousand, six hundred".