63985536 has 96 divisors (see below), whose sum is σ = 187098600. Its totient is φ = 20984832.

The previous prime is 63985463. The next prime is 63985541. The reversal of 63985536 is 63558936.

63985536 is a `hidden beast` number, since 6 + 3 + 98 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 63985491 and 63985500.

It is a congruent number.

It is an unprimeable number.

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, 76770 + ... + 77598.

Almost surely, 2^63985536 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 63985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93549300).

63985536 is an abundant number, since it is smaller than the sum of its proper divisors (123113064).

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

63985536 is a wasteful number, since it uses less digits than its factorization.

63985536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 901 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 63985536 is about 7999.0959489182. The cubic root of 63985536 is about 399.9698643963.

The spelling of 63985536 in words is "sixty-three million, nine hundred eighty-five thousand, five hundred thirty-six".