11806840 has 64 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 4374528.

The previous prime is 11806819. The next prime is 11806849. The reversal of 11806840 is 4860811.

It is a junction number, because it is equal to n+sod(n) for n = 11806799 and 11806808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806849) 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, 65871 + ... + 66049.

Almost surely, 2^11806840 is an apocalyptic number.

11806840 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 11806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

11806840 is an abundant number, since it is smaller than the sum of its proper divisors (16769960).

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

11806840 is a wasteful number, since it uses less digits than its factorization.

11806840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11806840 is about 3436.1082637193. The cubic root of 11806840 is about 227.7077922782.

The spelling of 11806840 in words is "eleven million, eight hundred six thousand, eight hundred forty".