63966 has 16 divisors (see below), whose sum is σ = 146304. Its totient is φ = 18264.

The previous prime is 63949. The next prime is 63977. The reversal of 63966 is 66936.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

63966 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 7 ways as a sum of consecutive naturals, for example, 720 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2⁶³⁹⁶⁶ is an apocalyptic number.

63966 is an abundant number, since it is smaller than the sum of its proper divisors (82338).

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 (73152).

63966 is a wasteful number, since it uses less digits than its factorization.

63966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535.

The product of its digits is 5832, while the sum is 30.

The square root of 63966 is about 252.9150054860. The cubic root of 63966 is about 39.9929154120.

Subtracting from 63966 its sum of digits (30), we obtain a palindrome (63936).

The spelling of 63966 in words is "sixty-three thousand, nine hundred sixty-six".