23540 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 8480.

The previous prime is 23539. The next prime is 23549. The reversal of 23540 is 4532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2²³⁵⁴⁰ is an apocalyptic number.

23540 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 23540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

23540 is an abundant number, since it is smaller than the sum of its proper divisors (30892).

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

23540 is a wasteful number, since it uses less digits than its factorization.

23540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 23540 is about 153.4275073121. The cubic root of 23540 is about 28.6595138695.

The spelling of 23540 in words is "twenty-three thousand, five hundred forty".