16811080 has 64 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 5640960.

The previous prime is 16811071. The next prime is 16811087. The reversal of 16811080 is 8011861.

It is a happy number.

It is a super-2 number, since 2×16811080² = 565224821532800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16811087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4251 + ... + 7189.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 2^16811080 is an apocalyptic number.

16811080 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 16811080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

16811080 is an abundant number, since it is smaller than the sum of its proper divisors (27641720).

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

16811080 is a wasteful number, since it uses less digits than its factorization.

16811080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 16811080 is about 4100.1317052017. The cubic root of 16811080 is about 256.1721254539.

The spelling of 16811080 in words is "sixteen million, eight hundred eleven thousand, eighty".