19893000 has 128 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 5011200.

The previous prime is 19892989. The next prime is 19893007. The reversal of 19893000 is 39891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19893007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56826 + ... + 57174.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 2^19893000 is an apocalyptic number.

19893000 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 19893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

19893000 is an abundant number, since it is smaller than the sum of its proper divisors (45627000).

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

19893000 is a wasteful number, since it uses less digits than its factorization.

19893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 19893000 is about 4460.1569479111. The cubic root of 19893000 is about 270.9568246827.

The spelling of 19893000 in words is "nineteen million, eight hundred ninety-three thousand".