11887540 has 96 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 3732480.

The previous prime is 11887517. The next prime is 11887541. The reversal of 11887540 is 4578811.

It is a junction number, because it is equal to n+sod(n) for n = 11887496 and 11887505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109006 + ... + 109114.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^11887540 is an apocalyptic number.

11887540 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 11887540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

11887540 is an abundant number, since it is smaller than the sum of its proper divisors (19158860).

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

11887540 is a wasteful number, since it uses less digits than its factorization.

11887540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 11887540 is about 3447.8312023648. The cubic root of 11887540 is about 228.2254106042.

The spelling of 11887540 in words is "eleven million, eight hundred eighty-seven thousand, five hundred forty".