11538540 has 72 divisors (see below), whose sum is σ = 37700208. Its totient is φ = 2839680.

The previous prime is 11538533. The next prime is 11538557. The reversal of 11538540 is 4583511.

11538540 is a `hidden beast` number, since 115 + 3 + 8 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (523614).

Almost surely, 2^11538540 is an apocalyptic number.

11538540 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 11538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850104).

11538540 is an abundant number, since it is smaller than the sum of its proper divisors (26161668).

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

11538540 is a wasteful number, since it uses less digits than its factorization.

11538540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 11538540 is about 3396.8426516399. The cubic root of 11538540 is about 225.9697403818.

The spelling of 11538540 in words is "eleven million, five hundred thirty-eight thousand, five hundred forty".