63360 has 96 divisors (see below), whose sum is σ = 238680. Its totient is φ = 15360.

The previous prime is 63353. The next prime is 63361. The reversal of 63360 is 6336.

Added to its reverse (6336) it gives a square (69696 = 264²).

63360 = 3² + 4² + ... + 57².

63360 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63361) by changing a digit.

63360 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 11 ways as a sum of consecutive naturals, for example, 5755 + ... + 5765.

2⁶³³⁶⁰ is an apocalyptic number.

63360 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 63360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

63360 is an abundant number, since it is smaller than the sum of its proper divisors (175320).

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

63360 is a wasteful number, since it uses less digits than its factorization.

63360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 63360 is about 251.7141235608. The cubic root of 63360 is about 39.8662197365.

Subtracting from 63360 its product of nonzero digits (324), we obtain a palindrome (63036).

Adding to 63360 its reverse (6336), we get a palindrome (69696).

The spelling of 63360 in words is "sixty-three thousand, three hundred sixty".