16688064 has 56 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 5319424.

The previous prime is 16688059. The next prime is 16688081. The reversal of 16688064 is 46088661.

It is a super-3 number, since 3×16688064³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2527 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^16688064 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 16688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

16688064 is an abundant number, since it is smaller than the sum of its proper divisors (29397696).

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

16688064 is a wasteful number, since it uses less digits than its factorization.

16688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 16688064 is about 4085.1026914877. The cubic root of 16688064 is about 255.5457439067.

The spelling of 16688064 in words is "sixteen million, six hundred eighty-eight thousand, sixty-four".