11682048 has 144 divisors (see below), whose sum is σ = 37086336. Its totient is φ = 3194880.

The previous prime is 11682031. The next prime is 11682061. The reversal of 11682048 is 84028611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220390 + ... + 220442.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 2^11682048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168).

11682048 is an abundant number, since it is smaller than the sum of its proper divisors (25404288).

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

11682048 is an equidigital number, since it uses as much as digits as its factorization.

11682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11682048 is about 3417.9011103307. The cubic root of 11682048 is about 226.9026991505.

The spelling of 11682048 in words is "eleven million, six hundred eighty-two thousand, forty-eight".