11182080 has 224 divisors, whose sum is σ = 44037504. Its totient is φ = 2359296.

The previous prime is 11182079. The next prime is 11182097. The reversal of 11182080 is 8028111.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860154 + ... + 860166.

It is an arithmetic number, because the mean of its divisors is an integer number (196596).

Almost surely, 2^11182080 is an apocalyptic number.

11182080 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 11182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018752).

11182080 is an abundant number, since it is smaller than the sum of its proper divisors (32855424).

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

11182080 is an equidigital number, since it uses as much as digits as its factorization.

11182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 11182080 is about 3343.9617222690. The cubic root of 11182080 is about 223.6183978982.

The spelling of 11182080 in words is "eleven million, one hundred eighty-two thousand, eighty".