186816 has 56 divisors (see below), whose sum is σ = 568960. Its totient is φ = 52992.

The previous prime is 186799. The next prime is 186841. The reversal of 186816 is 618681.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (10160).

2¹⁸⁶⁸¹⁶ is an apocalyptic number.

186816 is a gapful number since it is divisible by the number (16) 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 186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284480).

186816 is an abundant number, since it is smaller than the sum of its proper divisors (382144).

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

186816 is a wasteful number, since it uses less digits than its factorization.

186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 186816 is about 432.2221650957. Note that the first 3 decimals coincide. The cubic root of 186816 is about 57.1660286979.

The spelling of 186816 in words is "one hundred eighty-six thousand, eight hundred sixteen".