16688320 has 84 divisors (see below), whose sum is σ = 43781472. Its totient is φ = 6054400.

The previous prime is 16688299. The next prime is 16688333. The reversal of 16688320 is 2388661.

16688320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38505 + ... + 38935.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 2^16688320 is an apocalyptic number.

16688320 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 16688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736).

16688320 is an abundant number, since it is smaller than the sum of its proper divisors (27093152).

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

16688320 is a wasteful number, since it uses less digits than its factorization.

16688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 16688320 is about 4085.1340247292. The cubic root of 16688320 is about 255.5470506166.

The spelling of 16688320 in words is "sixteen million, six hundred eighty-eight thousand, three hundred twenty".