11755540 has 24 divisors (see below), whose sum is σ = 24753960. Its totient is φ = 4689408.

The previous prime is 11755531. The next prime is 11755543. The reversal of 11755540 is 4555711.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 9647236 = 1452^2 + 3106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11755499 and 11755508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11755543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10864 + ... + 11896.

It is an arithmetic number, because the mean of its divisors is an integer number (1031415).

Almost surely, 2^11755540 is an apocalyptic number.

11755540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11755540 is an abundant number, since it is smaller than the sum of its proper divisors (12998420).

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

11755540 is a wasteful number, since it uses less digits than its factorization.

11755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 11755540 is about 3428.6352970242. The cubic root of 11755540 is about 227.3775213212.

The spelling of 11755540 in words is "eleven million, seven hundred fifty-five thousand, five hundred forty".