16811680 has 48 divisors (see below), whose sum is σ = 40007520. Its totient is φ = 6675712.

The previous prime is 16811671. The next prime is 16811687. The reversal of 16811680 is 8611861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16811687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28347 + ... + 28933.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^16811680 is an apocalyptic number.

16811680 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 16811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003760).

16811680 is an abundant number, since it is smaller than the sum of its proper divisors (23195840).

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

16811680 is a wasteful number, since it uses less digits than its factorization.

16811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 16811680 is about 4100.2048729301. The cubic root of 16811680 is about 256.1751730758.

The spelling of 16811680 in words is "sixteen million, eight hundred eleven thousand, six hundred eighty".