11733540 has 144 divisors (see below), whose sum is σ = 41291712. Its totient is φ = 2467584.

The previous prime is 11733529. The next prime is 11733541. The reversal of 11733540 is 4533711.

It is a self number, because there is not a number n which added to its sum of digits gives 11733540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11733541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38067 + ... + 38373.

It is an arithmetic number, because the mean of its divisors is an integer number (286748).

Almost surely, 2^11733540 is an apocalyptic number.

11733540 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 11733540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20645856).

11733540 is an abundant number, since it is smaller than the sum of its proper divisors (29558172).

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

11733540 is a wasteful number, since it uses less digits than its factorization.

11733540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 11733540 is about 3425.4255210120. The cubic root of 11733540 is about 227.2355902472.

The spelling of 11733540 in words is "eleven million, seven hundred thirty-three thousand, five hundred forty".