19985364 has 72 divisors (see below), whose sum is σ = 58601088. Its totient is φ = 5624640.

The previous prime is 19985351. The next prime is 19985401. The reversal of 19985364 is 46358991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17334 + ... + 18450.

It is an arithmetic number, because the mean of its divisors is an integer number (813904).

Almost surely, 2^19985364 is an apocalyptic number.

19985364 is a gapful number since it is divisible by the number (14) 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 19985364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300544).

19985364 is an abundant number, since it is smaller than the sum of its proper divisors (38615724).

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

19985364 is a wasteful number, since it uses less digits than its factorization.

19985364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 19985364 is about 4470.4993009730. The cubic root of 19985364 is about 271.3755318075.

The spelling of 19985364 in words is "nineteen million, nine hundred eighty-five thousand, three hundred sixty-four".