180816 has 20 divisors (see below), whose sum is σ = 467232. Its totient is φ = 60256.

The previous prime is 180811. The next prime is 180847. The reversal of 180816 is 618081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180811) 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, 1836 + ... + 1931.

2¹⁸⁰⁸¹⁶ is an apocalyptic number.

180816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

180816 is an abundant number, since it is smaller than the sum of its proper divisors (286416).

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

180816 is a wasteful number, since it uses less digits than its factorization.

180816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 180816 is about 425.2246465105. The cubic root of 180816 is about 56.5473537276.

Adding to 180816 its reverse (618081), we get a palindrome (798897).

The spelling of 180816 in words is "one hundred eighty thousand, eight hundred sixteen".