11638048 has 24 divisors (see below), whose sum is σ = 23704380. Its totient is φ = 5617920.

The previous prime is 11638031. The next prime is 11638049. The reversal of 11638048 is 84083611.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 535824 = 3332^2 + 732^2 .

It is a super-3 number, since 3×11638048³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11638049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5343 + ... + 7198.

Almost surely, 2^11638048 is an apocalyptic number.

It is an amenable number.

11638048 is an abundant number, since it is smaller than the sum of its proper divisors (12066332).

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

11638048 is a wasteful number, since it uses less digits than its factorization.

11638048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11638048 is about 3411.4583391858. The cubic root of 11638048 is about 226.6174672148.

The spelling of 11638048 in words is "eleven million, six hundred thirty-eight thousand, forty-eight".