11386080 has 72 divisors (see below), whose sum is σ = 38859912. Its totient is φ = 3035904.

The previous prime is 11386061. The next prime is 11386087. The reversal of 11386080 is 8068311.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11386087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2514 + ... + 5393.

It is an arithmetic number, because the mean of its divisors is an integer number (539721).

Almost surely, 2^11386080 is an apocalyptic number.

11386080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11386080 is an abundant number, since it is smaller than the sum of its proper divisors (27473832).

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

11386080 is a wasteful number, since it uses less digits than its factorization.

11386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11386080 is about 3374.3265994862. The cubic root of 11386080 is about 224.9700700929.

The spelling of 11386080 in words is "eleven million, three hundred eighty-six thousand, eighty".