11172880 has 20 divisors (see below), whose sum is σ = 25977132. Its totient is φ = 4469120.

The previous prime is 11172857. The next prime is 11172881. The reversal of 11172880 is 8827111.

It can be written as a sum of positive squares in 2 ways, for example, as 5180176 + 5992704 = 2276^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (11172881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69751 + ... + 69910.

Almost surely, 2^11172880 is an apocalyptic number.

11172880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11172880 is an abundant number, since it is smaller than the sum of its proper divisors (14804252).

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

11172880 is a wasteful number, since it uses less digits than its factorization.

11172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139674 (or 139668 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 11172880 is about 3342.5858253753. The cubic root of 11172880 is about 223.5570541015.

Adding to 11172880 its reverse (8827111), we get a palindrome (19999991).

The spelling of 11172880 in words is "eleven million, one hundred seventy-two thousand, eight hundred eighty".