181680 has 40 divisors (see below), whose sum is σ = 563952. Its totient is φ = 48384.

The previous prime is 181669. The next prime is 181693. The reversal of 181680 is 86181.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 181680.

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, 139 + ... + 618.

2¹⁸¹⁶⁸⁰ is an apocalyptic number.

181680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181680 is an abundant number, since it is smaller than the sum of its proper divisors (382272).

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

181680 is a wasteful number, since it uses less digits than its factorization.

181680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

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

The square root of 181680 is about 426.2393693689. The cubic root of 181680 is about 56.6372781098.

It can be divided in two parts, 181 and 680, that added together give a triangular number (861 = T₄₁).

The spelling of 181680 in words is "one hundred eighty-one thousand, six hundred eighty".