183820 has 48 divisors (see below), whose sum is σ = 479808. Its totient is φ = 57600.

The previous prime is 183809. The next prime is 183823. The reversal of 183820 is 28381.

183820 = T₁₅₅ + T₁₅₆ + ... + T₁₆₈.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 183791 and 183800.

It is not an unprimeable number, because it can be changed into a prime (183823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770 + ... + 1870.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

2¹⁸³⁸²⁰ is an apocalyptic number.

183820 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 183820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904).

183820 is an abundant number, since it is smaller than the sum of its proper divisors (295988).

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

183820 is a wasteful number, since it uses less digits than its factorization.

183820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 183820 is about 428.7423468705. The cubic root of 183820 is about 56.8587865873.

The spelling of 183820 in words is "one hundred eighty-three thousand, eight hundred twenty".