19020 has 24 divisors (see below), whose sum is σ = 53424. Its totient is φ = 5056.

The previous prime is 19013. The next prime is 19031. The reversal of 19020 is 2091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18987 and 19005.

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, 99 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (2226).

2¹⁹⁰²⁰ is an apocalyptic number.

19020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19020 is an abundant number, since it is smaller than the sum of its proper divisors (34404).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712).

19020 is a wasteful number, since it uses less digits than its factorization.

19020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 19020 is about 137.9130160645. The cubic root of 19020 is about 26.6933760167.

It can be divided in two parts, 190 and 20, that added together give a triangular number (210 = T₂₀).

The spelling of 19020 in words is "nineteen thousand, twenty".