19683000 has 160 divisors (see below), whose sum is σ = 69086160. Its totient is φ = 5248800.

The previous prime is 19682987. The next prime is 19683007. The reversal of 19683000 is 38691.

The cubic root of 19683000 is 270.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19683007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3936598 + ... + 3936602.

Almost surely, 2^19683000 is an apocalyptic number.

19683000 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 19683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34543080).

19683000 is an abundant number, since it is smaller than the sum of its proper divisors (49403160).

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

19683000 is an frugal number, since it uses more digits than its factorization.

19683000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19683000 is about 4436.5527157918.

Multiplying 19683000 by its sum of digits (27), we get a cube (531441000 = 810³).

19683000 divided by its sum of digits (27) gives a cube (729000 = 90³).

The spelling of 19683000 in words is "nineteen million, six hundred eighty-three thousand".