19947136 has 64 divisors (see below), whose sum is σ = 44847360. Its totient is φ = 8755200.

The previous prime is 19947121. The next prime is 19947139. The reversal of 19947136 is 63174991.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19947139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43420 + ... + 43876.

It is an arithmetic number, because the mean of its divisors is an integer number (700740).

Almost surely, 2^19947136 is an apocalyptic number.

19947136 is a gapful number since it is divisible by the number (16) 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 19947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22423680).

19947136 is an abundant number, since it is smaller than the sum of its proper divisors (24900224).

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

19947136 is a wasteful number, since it uses less digits than its factorization.

19947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 19947136 is about 4466.2216693756. The cubic root of 19947136 is about 271.2023923470.

It can be divided in two parts, 1994713 and 6, that multiplied together give a triangular number (11968278 = T₄₈₉₂).

The spelling of 19947136 in words is "nineteen million, nine hundred forty-seven thousand, one hundred thirty-six".