16800768 has 66 divisors (see below), whose sum is σ = 48538464. Its totient is φ = 5597184.

The previous prime is 16800767. The next prime is 16800779. The reversal of 16800768 is 86700861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16800767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8305 + ... + 10127.

Almost surely, 2^16800768 is an apocalyptic number.

16800768 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 16800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269232).

16800768 is an abundant number, since it is smaller than the sum of its proper divisors (31737696).

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

16800768 is a wasteful number, since it uses less digits than its factorization.

16800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 16800768 is about 4098.8739917202. The cubic root of 16800768 is about 256.1197356555.

The spelling of 16800768 in words is "sixteen million, eight hundred thousand, seven hundred sixty-eight".