11638848 has 56 divisors (see below), whose sum is σ = 33170368. Its totient is φ = 3580416.

The previous prime is 11638819. The next prime is 11638873. The reversal of 11638848 is 84883611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 4827.

It is an arithmetic number, because the mean of its divisors is an integer number (592328).

Almost surely, 2^11638848 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 11638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585184).

11638848 is an abundant number, since it is smaller than the sum of its proper divisors (21531520).

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

11638848 is a wasteful number, since it uses less digits than its factorization.

11638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4681 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 11638848 is about 3411.5755890790. The cubic root of 11638848 is about 226.6226596612.

It can be divided in two parts, 1163 and 8848, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 11638848 in words is "eleven million, six hundred thirty-eight thousand, eight hundred forty-eight".