182816 has 24 divisors (see below), whose sum is σ = 374220. Its totient is φ = 87808.

The previous prime is 182813. The next prime is 182821. The reversal of 182816 is 618281.

182816 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 19600 = 404^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (182813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 830 + ... + 1026.

2¹⁸²⁸¹⁶ is an apocalyptic number.

182816 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 182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187110).

182816 is an abundant number, since it is smaller than the sum of its proper divisors (191404).

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

182816 is a wasteful number, since it uses less digits than its factorization.

182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 182816 is about 427.5698773300. The cubic root of 182816 is about 56.7550792093.

The spelling of 182816 in words is "one hundred eighty-two thousand, eight hundred sixteen".