11687120 has 40 divisors (see below), whose sum is σ = 27394080. Its totient is φ = 4636800.

The previous prime is 11687119. The next prime is 11687129. The reversal of 11687120 is 2178611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11687120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11687129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10595 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (684852).

Almost surely, 2^11687120 is an apocalyptic number.

11687120 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 11687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697040).

11687120 is an abundant number, since it is smaller than the sum of its proper divisors (15706960).

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

11687120 is a wasteful number, since it uses less digits than its factorization.

11687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 11687120 is about 3418.6430056383. The cubic root of 11687120 is about 226.9355325480.

The spelling of 11687120 in words is "eleven million, six hundred eighty-seven thousand, one hundred twenty".