11006080 has 64 divisors (see below), whose sum is σ = 27264600. Its totient is φ = 4243456.

The previous prime is 11006069. The next prime is 11006101. The reversal of 11006080 is 8060011.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 1617984 = 3064^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11006080² = 242267593932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18264 + ... + 18856.

Almost surely, 2^11006080 is an apocalyptic number.

11006080 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 11006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632300).

11006080 is an abundant number, since it is smaller than the sum of its proper divisors (16258520).

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

11006080 is an equidigital number, since it uses as much as digits as its factorization.

11006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11006080 is about 3317.5412582212. The cubic root of 11006080 is about 222.4389766582.

Adding to 11006080 its reverse (8060011), we get a palindrome (19066091).

The spelling of 11006080 in words is "eleven million, six thousand, eighty".