16487688 has 128 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 4224000.

The previous prime is 16487683. The next prime is 16487749. The reversal of 16487688 is 88678461.

16487688 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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16487683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65563 + ... + 65813.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^16487688 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 16487688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

16487688 is an abundant number, since it is smaller than the sum of its proper divisors (35767032).

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

16487688 is a wasteful number, since it uses less digits than its factorization.

16487688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 16487688 is about 4060.5034170654. The cubic root of 16487688 is about 254.5188311982.

The spelling of 16487688 in words is "sixteen million, four hundred eighty-seven thousand, six hundred eighty-eight".