11225600 has 60 divisors (see below), whose sum is σ = 27844014. Its totient is φ = 4485120.

The previous prime is 11225567. The next prime is 11225609. The reversal of 11225600 is 652211.

11225600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 9935104 + 1290496 = 3152^2 + 1136^2 .

It is not an unprimeable number, because it can be changed into a prime (11225609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12362 + ... + 13238.

Almost surely, 2^11225600 is an apocalyptic number.

11225600 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 11225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922007).

11225600 is an abundant number, since it is smaller than the sum of its proper divisors (16618414).

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

11225600 is an frugal number, since it uses more digits than its factorization.

11225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11225600 is about 3350.4626546195. The cubic root of 11225600 is about 223.9081255878.

Adding to 11225600 its reverse (652211), we get a palindrome (11877811).

The spelling of 11225600 in words is "eleven million, two hundred twenty-five thousand, six hundred".