11000080 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3479040.

The previous prime is 11000057. The next prime is 11000081. The reversal of 11000080 is 8000011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6525 + ... + 8035.

Almost surely, 2^11000080 is an apocalyptic number.

11000080 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 11000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

11000080 is an abundant number, since it is smaller than the sum of its proper divisors (20497904).

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

11000080 is a wasteful number, since it uses less digits than its factorization.

11000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11000080 is about 3316.6368507873. The cubic root of 11000080 is about 222.3985482023.

Adding to 11000080 its reverse (8000011), we get a palindrome (19000091).

The spelling of 11000080 in words is "eleven million, eighty", and thus it is an aban number and an uban number.