19966392 has 64 divisors (see below), whose sum is σ = 57888000. Its totient is φ = 6364512.

The previous prime is 19966363. The next prime is 19966393. The reversal of 19966392 is 29366991.

It is a happy number.

19966392 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 639 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19966393) 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 15 ways as a sum of consecutive naturals, for example, 2959 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (904500).

Almost surely, 2^19966392 is an apocalyptic number.

19966392 is a gapful number since it is divisible by the number (12) 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 19966392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944000).

19966392 is an abundant number, since it is smaller than the sum of its proper divisors (37921608).

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

19966392 is a wasteful number, since it uses less digits than its factorization.

19966392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 19966392 is about 4468.3768865215. The cubic root of 19966392 is about 271.2896328365.

The spelling of 19966392 in words is "nineteen million, nine hundred sixty-six thousand, three hundred ninety-two".