23360 has 28 divisors (see below), whose sum is σ = 56388. Its totient is φ = 9216.

The previous prime is 23357. The next prime is 23369. The reversal of 23360 is 6332.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 12544 = 104^2 + 112^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 356.

2²³³⁶⁰ is an apocalyptic number.

23360 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 23360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28194).

23360 is an abundant number, since it is smaller than the sum of its proper divisors (33028).

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

23360 is an equidigital number, since it uses as much as digits as its factorization.

23360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23360 is about 152.8397853963. The cubic root of 23360 is about 28.5862779953.

Adding to 23360 its reverse (6332), we get a palindrome (29692).

It can be divided in two parts, 23 and 360, that added together give a palindrome (383).

The spelling of 23360 in words is "twenty-three thousand, three hundred sixty".