11683440 has 120 divisors (see below), whose sum is σ = 40757808. Its totient is φ = 3110400.

The previous prime is 11683387. The next prime is 11683447. The reversal of 11683440 is 4438611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11683447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19140 + ... + 19740.

Almost surely, 2^11683440 is an apocalyptic number.

11683440 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 11683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378904).

11683440 is an abundant number, since it is smaller than the sum of its proper divisors (29074368).

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

11683440 is an equidigital number, since it uses as much as digits as its factorization.

11683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11683440 is about 3418.1047380091. The cubic root of 11683440 is about 226.9117111552.

The spelling of 11683440 in words is "eleven million, six hundred eighty-three thousand, four hundred forty".