11506540 has 24 divisors (see below), whose sum is σ = 24679872. Its totient is φ = 4504320.

The previous prime is 11506531. The next prime is 11506541. The reversal of 11506540 is 4560511.

It is not an unprimeable number, because it can be changed into a prime (11506541) 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, 5181 + ... + 7060.

It is an arithmetic number, because the mean of its divisors is an integer number (1028328).

Almost surely, 2^11506540 is an apocalyptic number.

11506540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11506540 is an abundant number, since it is smaller than the sum of its proper divisors (13173332).

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

11506540 is a wasteful number, since it uses less digits than its factorization.

11506540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297 (or 12295 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 11506540 is about 3392.1291249008. The cubic root of 11506540 is about 225.7606519225.

The spelling of 11506540 in words is "eleven million, five hundred six thousand, five hundred forty".