11275520 has 72 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 4302848.

The previous prime is 11275501. The next prime is 11275529. The reversal of 11275520 is 2557211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29249 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 2^11275520 is an apocalyptic number.

11275520 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 11275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

11275520 is an abundant number, since it is smaller than the sum of its proper divisors (16980736).

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

11275520 is an equidigital number, since it uses as much as digits as its factorization.

11275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 11275520 is about 3357.9041082199. The cubic root of 11275520 is about 224.2395396697.

The spelling of 11275520 in words is "eleven million, two hundred seventy-five thousand, five hundred twenty".