19963944 has 192 divisors, whose sum is σ = 72858240. Its totient is φ = 4769280.

The previous prime is 19963921. The next prime is 19963949. The reversal of 19963944 is 44936991.

19963944 = T₃₃₀ + T₃₃₁ + ... + T₅₃₇.

19963944 is a `hidden beast` number, since 1 + 9 + 9 + 639 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19963944.

It is not an unprimeable number, because it can be changed into a prime (19963949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71934 + ... + 72210.

It is an arithmetic number, because the mean of its divisors is an integer number (379470).

Almost surely, 2^19963944 is an apocalyptic number.

19963944 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 19963944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429120).

19963944 is an abundant number, since it is smaller than the sum of its proper divisors (52894296).

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

19963944 is a wasteful number, since it uses less digits than its factorization.

19963944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 19963944 is about 4468.1029531558. The cubic root of 19963944 is about 271.2785451353.

The spelling of 19963944 in words is "nineteen million, nine hundred sixty-three thousand, nine hundred forty-four".