16286688 has 144 divisors (see below), whose sum is σ = 52009776. Its totient is φ = 4792320.

The previous prime is 16286681. The next prime is 16286689. The reversal of 16286688 is 88668261.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16286681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167856 + ... + 167952.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^16286688 is an apocalyptic number.

16286688 is a gapful number since it is divisible by the number (18) 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 16286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004888).

16286688 is an abundant number, since it is smaller than the sum of its proper divisors (35723088).

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

16286688 is a wasteful number, since it uses less digits than its factorization.

16286688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 16286688 is about 4035.6768948963. The cubic root of 16286688 is about 253.4803271266.

The spelling of 16286688 in words is "sixteen million, two hundred eighty-six thousand, six hundred eighty-eight".