11682240 has 112 divisors (see below), whose sum is σ = 38087808. Its totient is φ = 3032064.

The previous prime is 11682233. The next prime is 11682241. The reversal of 11682240 is 4228611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11682240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682241) 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, 41139 + ... + 41421.

Almost surely, 2^11682240 is an apocalyptic number.

11682240 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 11682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043904).

11682240 is an abundant number, since it is smaller than the sum of its proper divisors (26405568).

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

11682240 is a wasteful number, since it uses less digits than its factorization.

11682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11682240 is about 3417.9291976283. The cubic root of 11682240 is about 226.9039422282.

The spelling of 11682240 in words is "eleven million, six hundred eighty-two thousand, two hundred forty".