16867968 has 128 divisors (see below), whose sum is σ = 50265600. Its totient is φ = 4976640.

The previous prime is 16867931. The next prime is 16867969. The reversal of 16867968 is 86976861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 16867968.

It is not an unprimeable number, because it can be changed into a prime (16867969) 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, 154698 + ... + 154806.

It is an arithmetic number, because the mean of its divisors is an integer number (392700).

Almost surely, 2^16867968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132800).

16867968 is an abundant number, since it is smaller than the sum of its proper divisors (33397632).

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

16867968 is a wasteful number, since it uses less digits than its factorization.

16867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 16867968 is about 4107.0631843204. The cubic root of 16867968 is about 256.4607587526.

The spelling of 16867968 in words is "sixteen million, eight hundred sixty-seven thousand, nine hundred sixty-eight".