186540 has 24 divisors (see below), whose sum is σ = 522480. Its totient is φ = 49728.

The previous prime is 186481. The next prime is 186551. The reversal of 186540 is 45681.

Added to its reverse (45681) it gives a triangular number (232221 = T₆₈₁).

186540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 186540.

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, 1495 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (21770).

2¹⁸⁶⁵⁴⁰ is an apocalyptic number.

186540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

186540 is an abundant number, since it is smaller than the sum of its proper divisors (335940).

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

186540 is a wasteful number, since it uses less digits than its factorization.

186540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 186540 is about 431.9027668353. The cubic root of 186540 is about 57.1378626587.

Adding to 186540 its reverse (45681), we get a triangular number (232221 = T₆₈₁).

The spelling of 186540 in words is "one hundred eighty-six thousand, five hundred forty".