11225880 has 48 divisors (see below), whose sum is σ = 36485280. Its totient is φ = 2993472.

The previous prime is 11225873. The next prime is 11225887. The reversal of 11225880 is 8852211.

It is an interprime number because it is at equal distance from previous prime (11225873) and next prime (11225887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225887) 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, 15232 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (760110).

Almost surely, 2^11225880 is an apocalyptic number.

11225880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225880 is an abundant number, since it is smaller than the sum of its proper divisors (25259400).

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

11225880 is a wasteful number, since it uses less digits than its factorization.

11225880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31200 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11225880 is about 3350.5044396329. The cubic root of 11225880 is about 223.9099872182.

The spelling of 11225880 in words is "eleven million, two hundred twenty-five thousand, eight hundred eighty".