11687820 has 48 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 3090880.

The previous prime is 11687803. The next prime is 11687827. The reversal of 11687820 is 2878611.

It is a happy number.

11687820 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 not an unprimeable number, because it can be changed into a prime (11687827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7117 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^11687820 is an apocalyptic number.

11687820 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 11687820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

11687820 is an abundant number, since it is smaller than the sum of its proper divisors (21310068).

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

11687820 is a wasteful number, since it uses less digits than its factorization.

11687820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11687820 is about 3418.7453839091. The cubic root of 11687820 is about 226.9400632251.

The spelling of 11687820 in words is "eleven million, six hundred eighty-seven thousand, eight hundred twenty".