11686080 has 224 divisors, whose sum is σ = 44476416. Its totient is φ = 2543616.

The previous prime is 11686063. The next prime is 11686091. The reversal of 11686080 is 8068611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248617 + ... + 248663.

Almost surely, 2^11686080 is an apocalyptic number.

11686080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11686080 is the 1974-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

11686080 is an abundant number, since it is smaller than the sum of its proper divisors (32790336).

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

11686080 is a wasteful number, since it uses less digits than its factorization.

11686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 11686080 is about 3418.4908951173. The cubic root of 11686080 is about 226.9288009222.

The spelling of 11686080 in words is "eleven million, six hundred eighty-six thousand, eighty".