16887168 has 96 divisors (see below), whose sum is σ = 49406760. Its totient is φ = 5535744.

The previous prime is 16887161. The next prime is 16887191. The reversal of 16887168 is 86178861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16887161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123196 + ... + 123332.

Almost surely, 2^16887168 is an apocalyptic number.

16887168 is a gapful number since it is divisible by the number (18) 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 16887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703380).

16887168 is an abundant number, since it is smaller than the sum of its proper divisors (32519592).

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

16887168 is a wasteful number, since it uses less digits than its factorization.

16887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 16887168 is about 4109.3999561980. The cubic root of 16887168 is about 256.5580275222.

The spelling of 16887168 in words is "sixteen million, eight hundred eighty-seven thousand, one hundred sixty-eight".