11145600 has 240 divisors, whose sum is σ = 42086220. Its totient is φ = 2903040.

The previous prime is 11145583. The next prime is 11145619. The reversal of 11145600 is 654111.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259179 + ... + 259221.

Almost surely, 2^11145600 is an apocalyptic number.

11145600 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 11145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043110).

11145600 is an abundant number, since it is smaller than the sum of its proper divisors (30940620).

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

11145600 is an equidigital number, since it uses as much as digits as its factorization.

11145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11145600 is about 3338.5026583785. The cubic root of 11145600 is about 223.3749582077.

Adding to 11145600 its reverse (654111), we get a palindrome (11799711).

The spelling of 11145600 in words is "eleven million, one hundred forty-five thousand, six hundred".