11751540 has 48 divisors (see below), whose sum is σ = 33367488. Its totient is φ = 3089664.

The previous prime is 11751521. The next prime is 11751541. The reversal of 11751540 is 4515711.

It is a self number, because there is not a number n which added to its sum of digits gives 11751540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11751541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3039 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (695156).

Almost surely, 2^11751540 is an apocalyptic number.

11751540 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 11751540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683744).

11751540 is an abundant number, since it is smaller than the sum of its proper divisors (21615948).

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

11751540 is a wasteful number, since it uses less digits than its factorization.

11751540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 11751540 is about 3428.0519249276. The cubic root of 11751540 is about 227.3517288505.

The spelling of 11751540 in words is "eleven million, seven hundred fifty-one thousand, five hundred forty".