16686864 has 120 divisors (see below), whose sum is σ = 51023520. Its totient is φ = 5220288.

The previous prime is 16686853. The next prime is 16686869. The reversal of 16686864 is 46868661.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (331776) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (16686869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155899 + ... + 156005.

It is an arithmetic number, because the mean of its divisors is an integer number (425196).

Almost surely, 2^16686864 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 16686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25511760).

16686864 is an abundant number, since it is smaller than the sum of its proper divisors (34336656).

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

16686864 is a wasteful number, since it uses less digits than its factorization.

16686864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 16686864 is about 4084.9558137145. The cubic root of 16686864 is about 255.5396185259.

The spelling of 16686864 in words is "sixteen million, six hundred eighty-six thousand, eight hundred sixty-four".