11253440 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3886080.

The previous prime is 11253433. The next prime is 11253449. The reversal of 11253440 is 4435211.

11253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11253449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80891 + ... + 81029.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^11253440 is an apocalyptic number.

11253440 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 11253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

11253440 is an abundant number, since it is smaller than the sum of its proper divisors (19470400).

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

11253440 is a wasteful number, since it uses less digits than its factorization.

11253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11253440 is about 3354.6147319774. The cubic root of 11253440 is about 224.0930735668.

Adding to 11253440 its reverse (4435211), we get a palindrome (15688651).

The spelling of 11253440 in words is "eleven million, two hundred fifty-three thousand, four hundred forty".