16788320 has 48 divisors (see below), whose sum is σ = 39907728. Its totient is φ = 6673920.

The previous prime is 16788319. The next prime is 16788323. The reversal of 16788320 is 2388761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16788323) 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 7 ways as a sum of consecutive naturals, for example, 50555 + ... + 50885.

It is an arithmetic number, because the mean of its divisors is an integer number (831411).

Almost surely, 2^16788320 is an apocalyptic number.

16788320 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 16788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953864).

16788320 is an abundant number, since it is smaller than the sum of its proper divisors (23119408).

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

16788320 is a wasteful number, since it uses less digits than its factorization.

16788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 16788320 is about 4097.3552445449. The cubic root of 16788320 is about 256.0564654092.

The spelling of 16788320 in words is "sixteen million, seven hundred eighty-eight thousand, three hundred twenty".