11886080 has 40 divisors (see below), whose sum is σ = 28504872. Its totient is φ = 4753408.

The previous prime is 11886073. The next prime is 11886107. The reversal of 11886080 is 8068811.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 4881.

Almost surely, 2^11886080 is an apocalyptic number.

11886080 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 11886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252436).

11886080 is an abundant number, since it is smaller than the sum of its proper divisors (16618792).

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

11886080 is an frugal number, since it uses more digits than its factorization.

11886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 11886080 is about 3447.6194685609. The cubic root of 11886080 is about 228.2160668504.

The spelling of 11886080 in words is "eleven million, eight hundred eighty-six thousand, eighty".