11886840 has 192 divisors, whose sum is σ = 45489600. Its totient is φ = 2635776.

The previous prime is 11886829. The next prime is 11886899. The reversal of 11886840 is 4868811.

11886840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11886795 and 11886804.

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, 133516 + ... + 133604.

It is an arithmetic number, because the mean of its divisors is an integer number (236925).

Almost surely, 2^11886840 is an apocalyptic number.

11886840 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 11886840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744800).

11886840 is an abundant number, since it is smaller than the sum of its proper divisors (33602760).

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

11886840 is a wasteful number, since it uses less digits than its factorization.

11886840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11886840 is about 3447.7296877801. The cubic root of 11886840 is about 228.2209308177.

The spelling of 11886840 in words is "eleven million, eight hundred eighty-six thousand, eight hundred forty".