11170080 has 72 divisors (see below), whose sum is σ = 38122812. Its totient is φ = 2978304.

The previous prime is 11170073. The next prime is 11170087. The reversal of 11170080 is 8007111.

It is an interprime number because it is at equal distance from previous prime (11170073) and next prime (11170087).

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 121104 = 3324^2 + 348^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11170087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2439 + ... + 5318.

Almost surely, 2^11170080 is an apocalyptic number.

11170080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11170080 is an abundant number, since it is smaller than the sum of its proper divisors (26952732).

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

11170080 is a wasteful number, since it uses less digits than its factorization.

11170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 11170080 is about 3342.1669617181. The cubic root of 11170080 is about 223.5383775666.

Adding to 11170080 its reverse (8007111), we get a palindrome (19177191).

The spelling of 11170080 in words is "eleven million, one hundred seventy thousand, eighty".