23280 has 40 divisors (see below), whose sum is σ = 72912. Its totient is φ = 6144.

The previous prime is 23279. The next prime is 23291. The reversal of 23280 is 8232.

23280 is digitally balanced in base 4, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 288.

2²³²⁸⁰ is an apocalyptic number.

23280 is a gapful number since it is divisible by the number (20) 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 23280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

23280 is an abundant number, since it is smaller than the sum of its proper divisors (49632).

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

23280 is a wasteful number, since it uses less digits than its factorization.

23280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23280 is about 152.5778489821. The cubic root of 23280 is about 28.5536079348.

It can be divided in two parts, 23 and 280, that added together give a palindrome (303).

The spelling of 23280 in words is "twenty-three thousand, two hundred eighty".