63996 has 12 divisors (see below), whose sum is σ = 149352. Its totient is φ = 21328.

The previous prime is 63977. The next prime is 63997. The reversal of 63996 is 69936.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63996.

It is not an unprimeable number, because it can be changed into a prime (63997) by changing a digit.

63996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2655 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (12446).

2⁶³⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

63996 is an abundant number, since it is smaller than the sum of its proper divisors (85356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676).

63996 is a wasteful number, since it uses less digits than its factorization.

63996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5338 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 63996 is about 252.9743069958. The cubic root of 63996 is about 39.9991666493. Note that the first 3 decimals are identical.

The spelling of 63996 in words is "sixty-three thousand, nine hundred ninety-six".