63956736 has 144 divisors (see below), whose sum is σ = 199494400. Its totient is φ = 20155392.

The previous prime is 63956719. The next prime is 63956749. The reversal of 63956736 is 63765936.

63956736 is a `hidden beast` number, since 639 + 5 + 6 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63956691 and 63956700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131085 + ... + 131571.

Almost surely, 2^63956736 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 63956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99747200).

63956736 is an abundant number, since it is smaller than the sum of its proper divisors (135537664).

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

63956736 is a wasteful number, since it uses less digits than its factorization.

63956736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 63956736 is about 7997.2955428695. The cubic root of 63956736 is about 399.9098463490.

It can be divided in two parts, 6395 and 6736, that added together give a palindrome (13131).

The spelling of 63956736 in words is "sixty-three million, nine hundred fifty-six thousand, seven hundred thirty-six".