63981936 has 60 divisors (see below), whose sum is σ = 183242488. Its totient is φ = 20829312.

The previous prime is 63981889. The next prime is 63981937. The reversal of 63981936 is 63918936.

63981936 is a `hidden beast` number, since 639 + 8 + 1 + 9 + 3 + 6 = 666.

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 = 63981891 and 63981900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63981937) 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 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 11358.

Almost surely, 2^63981936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63981936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91621244).

63981936 is an abundant number, since it is smaller than the sum of its proper divisors (119260552).

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

63981936 is a wasteful number, since it uses less digits than its factorization.

63981936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10381 counting only the distinct ones).

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

The square root of 63981936 is about 7998.8709203237. The cubic root of 63981936 is about 399.9623631254.

The spelling of 63981936 in words is "sixty-three million, nine hundred eighty-one thousand, nine hundred thirty-six".