11295200 has 72 divisors (see below), whose sum is σ = 31529232. Its totient is φ = 3870720.

The previous prime is 11295169. The next prime is 11295203. The reversal of 11295200 is 259211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4592 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (437906).

Almost surely, 2^11295200 is an apocalyptic number.

11295200 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 11295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764616).

11295200 is an abundant number, since it is smaller than the sum of its proper divisors (20234032).

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

11295200 is a wasteful number, since it uses less digits than its factorization.

11295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 11295200 is about 3360.8332300190. The cubic root of 11295200 is about 224.3699244668.

The spelling of 11295200 in words is "eleven million, two hundred ninety-five thousand, two hundred".