23940 has 72 divisors (see below), whose sum is σ = 87360. Its totient is φ = 5184.

The previous prime is 23929. The next prime is 23957. The reversal of 23940 is 4932.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251 + ... + 1269.

2²³⁹⁴⁰ is an apocalyptic number.

23940 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 23940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

23940 is an abundant number, since it is smaller than the sum of its proper divisors (63420).

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

23940 is a wasteful number, since it uses less digits than its factorization.

23940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23940 is about 154.7255634987. The cubic root of 23940 is about 28.8209338542.

The spelling of 23940 in words is "twenty-three thousand, nine hundred forty".