19881936 has 150 divisors (see below), whose sum is σ = 62229090. Its totient is φ = 6120576.

The previous prime is 19881929. The next prime is 19881941. The reversal of 19881936 is 63918891.

It can be written as a sum of positive squares in only one way, i.e., 17139600 + 2742336 = 4140^2 + 1656^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 19881891 and 19881900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 685570 + ... + 685598.

Almost surely, 2^19881936 is an apocalyptic number.

19881936 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 19881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114545).

19881936 is an abundant number, since it is smaller than the sum of its proper divisors (42347154).

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

19881936 is a wasteful number, since it uses less digits than its factorization.

19881936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 19881936 is about 4458.9164603074. The cubic root of 19881936 is about 270.9065821810.

The spelling of 19881936 in words is "nineteen million, eight hundred eighty-one thousand, nine hundred thirty-six".