185380 has 48 divisors (see below), whose sum is σ = 451584. Its totient is φ = 63360.

The previous prime is 185371. The next prime is 185401. The reversal of 185380 is 83581.

185380 = 18² + 19² + ... + 82².

185380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5965 + ... + 5995.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2¹⁸⁵³⁸⁰ is an apocalyptic number.

185380 is a gapful number since it is divisible by the number (10) 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 185380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

185380 is an abundant number, since it is smaller than the sum of its proper divisors (266204).

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

185380 is a wasteful number, since it uses less digits than its factorization.

185380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 185380 is about 430.5577777720. The cubic root of 185380 is about 57.0191789365.

It can be divided in two parts, 1853 and 80, that multiplied together give a triangular number (148240 = T₅₄₄).

The spelling of 185380 in words is "one hundred eighty-five thousand, three hundred eighty".