63180 has 72 divisors (see below), whose sum is σ = 214032. Its totient is φ = 15552.

The previous prime is 63179. The next prime is 63197. The reversal of 63180 is 8136.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4854 + ... + 4866.

2⁶³¹⁸⁰ is an apocalyptic number.

63180 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 63180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016).

63180 is an abundant number, since it is smaller than the sum of its proper divisors (150852).

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

63180 is a wasteful number, since it uses less digits than its factorization.

63180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63180 is about 251.3563207878. The cubic root of 63180 is about 39.8284318279.

Subtracting from 63180 its product of nonzero digits (144), we obtain a palindrome (63036).

It can be divided in two parts, 63 and 180, that added together give a 5-th power (243 = 3⁵).

The spelling of 63180 in words is "sixty-three thousand, one hundred eighty".