16896768 has 108 divisors (see below), whose sum is σ = 52428600. Its totient is φ = 4816896.

The previous prime is 16896731. The next prime is 16896769. The reversal of 16896768 is 86769861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16896768.

It is not an unprimeable number, because it can be changed into a prime (16896769) 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 11 ways as a sum of consecutive naturals, for example, 37408 + ... + 37856.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 2^16896768 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 16896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214300).

16896768 is an abundant number, since it is smaller than the sum of its proper divisors (35531832).

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

16896768 is an equidigital number, since it uses as much as digits as its factorization.

16896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

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

The square root of 16896768 is about 4110.5678439846. The cubic root of 16896768 is about 256.6066342612.

It can be divided in two parts, 168 and 96768, that multiplied together give a square (16257024 = 4032²).

The spelling of 16896768 in words is "sixteen million, eight hundred ninety-six thousand, seven hundred sixty-eight".