11744640 has 96 divisors (see below), whose sum is σ = 40575600. Its totient is φ = 3130368.

The previous prime is 11744617. The next prime is 11744647. The reversal of 11744640 is 4644711.

11744640 is a `hidden beast` number, since 1 + 17 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11744647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4741 + ... + 6779.

Almost surely, 2^11744640 is an apocalyptic number.

11744640 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 11744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287800).

11744640 is an abundant number, since it is smaller than the sum of its proper divisors (28830960).

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

11744640 is a wasteful number, since it uses less digits than its factorization.

11744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 11744640 is about 3427.0453746631. The cubic root of 11744640 is about 227.3072230791.

The spelling of 11744640 in words is "eleven million, seven hundred forty-four thousand, six hundred forty".