11331540 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 2672640.

The previous prime is 11331521. The next prime is 11331553. The reversal of 11331540 is 4513311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116772 + ... + 116868.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 2^11331540 is an apocalyptic number.

11331540 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 11331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11331540 is an abundant number, since it is smaller than the sum of its proper divisors (27194220).

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

11331540 is a wasteful number, since it uses less digits than its factorization.

11331540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11331540 is about 3366.2352858943. The cubic root of 11331540 is about 224.6102883519.

Adding to 11331540 its reverse (4513311), we get a palindrome (15844851).

The spelling of 11331540 in words is "eleven million, three hundred thirty-one thousand, five hundred forty".