16966000 has 80 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 6374400.

The previous prime is 16965997. The next prime is 16966007. The reversal of 16966000 is 66961.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16966000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16966007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33751 + ... + 34249.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 2^16966000 is an apocalyptic number.

16966000 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 16966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

16966000 is an abundant number, since it is smaller than the sum of its proper divisors (26558000).

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

16966000 is a wasteful number, since it uses less digits than its factorization.

16966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 16966000 is about 4118.9804563751. The cubic root of 16966000 is about 256.9566258868.

The spelling of 16966000 in words is "sixteen million, nine hundred sixty-six thousand".