63264 has 24 divisors (see below), whose sum is σ = 166320. Its totient is φ = 21056.

The previous prime is 63247. The next prime is 63277. The reversal of 63264 is 46236.

63264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 63264.

It is an unprimeable number.

63264 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, 234 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁶³²⁶⁴ is an apocalyptic number.

It is an amenable number.

63264 is an abundant number, since it is smaller than the sum of its proper divisors (103056).

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 (83160).

63264 is a wasteful number, since it uses less digits than its factorization.

63264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 63264 is about 251.5233587562. The cubic root of 63264 is about 39.8460751046.

It can be divided in two parts, 632 and 64, that added together give a palindrome (696).

The spelling of 63264 in words is "sixty-three thousand, two hundred sixty-four".