16681800 has 48 divisors (see below), whose sum is σ = 51715440. Its totient is φ = 4448320.

The previous prime is 16681799. The next prime is 16681801. The reversal of 16681800 is 818661.

It is an interprime number because it is at equal distance from previous prime (16681799) and next prime (16681801).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16681801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13302 + ... + 14501.

It is an arithmetic number, because the mean of its divisors is an integer number (1077405).

Almost surely, 2^16681800 is an apocalyptic number.

16681800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16681800 is an abundant number, since it is smaller than the sum of its proper divisors (35033640).

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

16681800 is a wasteful number, since it uses less digits than its factorization.

16681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27822 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 16681800 is about 4084.3359313357. The cubic root of 16681800 is about 255.5137661837.

The spelling of 16681800 in words is "sixteen million, six hundred eighty-one thousand, eight hundred".