11386540 has 48 divisors (see below), whose sum is σ = 26480160. Its totient is φ = 4078080.

The previous prime is 11386537. The next prime is 11386577. The reversal of 11386540 is 4568311.

It is a junction number, because it is equal to n+sod(n) for n = 11386499 and 11386508.

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, 15706 + ... + 16414.

It is an arithmetic number, because the mean of its divisors is an integer number (551670).

Almost surely, 2^11386540 is an apocalyptic number.

11386540 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 11386540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240080).

11386540 is an abundant number, since it is smaller than the sum of its proper divisors (15093620).

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

11386540 is a wasteful number, since it uses less digits than its factorization.

11386540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

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

The square root of 11386540 is about 3374.3947605460. The cubic root of 11386540 is about 224.9730996647.

The spelling of 11386540 in words is "eleven million, three hundred eighty-six thousand, five hundred forty".