53280 has 72 divisors (see below), whose sum is σ = 186732. Its totient is φ = 13824.

The previous prime is 53279. The next prime is 53281. The reversal of 53280 is 8235.

It is an interprime number because it is at equal distance from previous prime (53279) and next prime (53281).

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 1296 = 228^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (53281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1422 + ... + 1458.

2⁵³²⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366).

53280 is an abundant number, since it is smaller than the sum of its proper divisors (133452).

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

53280 is a wasteful number, since it uses less digits than its factorization.

53280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53280 is about 230.8246087401. The cubic root of 53280 is about 37.6288898235.

53280 divided by its product of nonzero digits (240) gives a palindrome (222).

It can be divided in two parts, 53 and 280, that added together give a palindrome (333).

The spelling of 53280 in words is "fifty-three thousand, two hundred eighty".