11514440 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3563520.

The previous prime is 11514427. The next prime is 11514449. The reversal of 11514440 is 4441511.

11514440 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 not an unprimeable number, because it can be changed into a prime (11514449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195131 + ... + 195189.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^11514440 is an apocalyptic number.

11514440 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 11514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11514440 is an abundant number, since it is smaller than the sum of its proper divisors (21144760).

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

11514440 is a wasteful number, since it uses less digits than its factorization.

11514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 11514440 is about 3393.2933854885. The cubic root of 11514440 is about 225.8123066377.

Adding to 11514440 its reverse (4441511), we get a palindrome (15955951).

The spelling of 11514440 in words is "eleven million, five hundred fourteen thousand, four hundred forty".