11616540 has 96 divisors (see below), whose sum is σ = 35816256. Its totient is φ = 2795520.

The previous prime is 11616533. The next prime is 11616551. The reversal of 11616540 is 4561611.

It is a self number, because there is not a number n which added to its sum of digits gives 11616540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41200 + ... + 41480.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 2^11616540 is an apocalyptic number.

11616540 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 11616540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908128).

11616540 is an abundant number, since it is smaller than the sum of its proper divisors (24199716).

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

11616540 is a wasteful number, since it uses less digits than its factorization.

11616540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11616540 is about 3408.3045638558. The cubic root of 11616540 is about 226.4777790090.

The spelling of 11616540 in words is "eleven million, six hundred sixteen thousand, five hundred forty".