11544640 has 56 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 4505088.

The previous prime is 11544607. The next prime is 11544641. The reversal of 11544640 is 4644511.

It is not an unprimeable number, because it can be changed into a prime (11544641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13341 + ... + 14179.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^11544640 is an apocalyptic number.

11544640 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 11544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

11544640 is an abundant number, since it is smaller than the sum of its proper divisors (16618880).

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

11544640 is an equidigital number, since it uses as much as digits as its factorization.

11544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 11544640 is about 3397.7404256358. The cubic root of 11544640 is about 226.0095539856.

The spelling of 11544640 in words is "eleven million, five hundred forty-four thousand, six hundred forty".