59280 has 80 divisors (see below), whose sum is σ = 208320. Its totient is φ = 13824.

The previous prime is 59273. The next prime is 59281. The reversal of 59280 is 8295.

59280 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 59280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59281) by changing a digit.

59280 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, 3111 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2⁵⁹²⁸⁰ 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 59280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

59280 is an abundant number, since it is smaller than the sum of its proper divisors (149040).

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

59280 is a wasteful number, since it uses less digits than its factorization.

59280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 59280 is about 243.4748446965. The cubic root of 59280 is about 38.9914511177.

The spelling of 59280 in words is "fifty-nine thousand, two hundred eighty".