16806000 has 80 divisors (see below), whose sum is σ = 54201888. Its totient is φ = 4480000.

The previous prime is 16805981. The next prime is 16806007. The reversal of 16806000 is 60861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16806007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4600 + ... + 7400.

Almost surely, 2^16806000 is an apocalyptic number.

16806000 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 16806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100944).

16806000 is an abundant number, since it is smaller than the sum of its proper divisors (37395888).

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

16806000 is a wasteful number, since it uses less digits than its factorization.

16806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16806000 is about 4099.5121660998. The cubic root of 16806000 is about 256.1463193486.

Adding to 16806000 its reverse (60861), we get a palindrome (16866861).

The spelling of 16806000 in words is "sixteen million, eight hundred six thousand".