16688400 has 60 divisors (see below), whose sum is σ = 53462352. Its totient is φ = 4449920.

The previous prime is 16688389. The next prime is 16688411. The reversal of 16688400 is 488661.

16688400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16688389) and next prime (16688411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

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, 5754 + ... + 8153.

Almost surely, 2^16688400 is an apocalyptic number.

16688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16688400 is an abundant number, since it is smaller than the sum of its proper divisors (36773952).

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

16688400 is a wasteful number, since it uses less digits than its factorization.

16688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16688400 is about 4085.1438163179. The cubic root of 16688400 is about 255.5474589607.

The spelling of 16688400 in words is "sixteen million, six hundred eighty-eight thousand, four hundred".