11638540 has 24 divisors (see below), whose sum is σ = 25879392. Its totient is φ = 4381440.

The previous prime is 11638537. The next prime is 11638559. The reversal of 11638540 is 4583611.

It is a super-2 number, since 2×11638540² = 270911226663200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11638499 and 11638508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16776 + ... + 17455.

It is an arithmetic number, because the mean of its divisors is an integer number (1078308).

Almost surely, 2^11638540 is an apocalyptic number.

11638540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638540 is an abundant number, since it is smaller than the sum of its proper divisors (14240852).

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

11638540 is a wasteful number, since it uses less digits than its factorization.

11638540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34257 (or 34255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11638540 is about 3411.5304483472. The cubic root of 11638540 is about 226.6206605975.

The spelling of 11638540 in words is "eleven million, six hundred thirty-eight thousand, five hundred forty".