63960 has 64 divisors (see below), whose sum is σ = 211680. Its totient is φ = 15360.

The previous prime is 63949. The next prime is 63977. The reversal of 63960 is 6936.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 63960.

It is a congruent number.

It is an unprimeable number.

63960 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 15 ways as a sum of consecutive naturals, for example, 1540 + ... + 1580.

2⁶³⁹⁶⁰ is an apocalyptic number.

63960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

63960 is an abundant number, since it is smaller than the sum of its proper divisors (147720).

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

63960 is a wasteful number, since it uses less digits than its factorization.

63960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 63960 is about 252.9031435155. The cubic root of 63960 is about 39.9916649300.

Subtracting from 63960 its sum of digits (24), we obtain a palindrome (63936).

The spelling of 63960 in words is "sixty-three thousand, nine hundred sixty".