16679000 has 64 divisors (see below), whose sum is σ = 42063840. Its totient is φ = 6153600.

The previous prime is 16678999. The next prime is 16679009. The reversal of 16679000 is 97661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16679009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12359 + ... + 13641.

Almost surely, 2^16679000 is an apocalyptic number.

16679000 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 16679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031920).

16679000 is an abundant number, since it is smaller than the sum of its proper divisors (25384840).

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

16679000 is a wasteful number, since it uses less digits than its factorization.

16679000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 16679000 is about 4083.9931439707. The cubic root of 16679000 is about 255.4994695935.

The spelling of 16679000 in words is "sixteen million, six hundred seventy-nine thousand".