23976 has 40 divisors (see below), whose sum is σ = 68970. Its totient is φ = 7776.

The previous prime is 23971. The next prime is 23977. The reversal of 23976 is 67932.

23976 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 8100 = 126^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2268) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (23971) by changing a digit.

23976 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 9 ways as a sum of consecutive naturals, for example, 630 + ... + 666.

2²³⁹⁷⁶ 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 23976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34485).

23976 is an abundant number, since it is smaller than the sum of its proper divisors (44994).

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

23976 is a wasteful number, since it uses less digits than its factorization.

23976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 23976 is about 154.8418548068. The cubic root of 23976 is about 28.8353732022.

23976 divided by its sum of digits (27) gives a palindrome (888).

Adding to 23976 its product of digits (2268), we get a square (26244 = 162²).

Subtracting 23976 from its reverse (67932), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 23 and 976, that added together give a palindrome (999).

The spelling of 23976 in words is "twenty-three thousand, nine hundred seventy-six".