185420 has 24 divisors (see below), whose sum is σ = 397824. Its totient is φ = 72576.

The previous prime is 185401. The next prime is 185429. The reversal of 185420 is 24581.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 185392 and 185401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 185420.

It is not an unprimeable number, because it can be changed into a prime (185429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

2¹⁸⁵⁴²⁰ is an apocalyptic number.

185420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185420 is an abundant number, since it is smaller than the sum of its proper divisors (212404).

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

185420 is a wasteful number, since it uses less digits than its factorization.

185420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 185420 is about 430.6042266397. The cubic root of 185420 is about 57.0232797081.

The spelling of 185420 in words is "one hundred eighty-five thousand, four hundred twenty".