23870 has 32 divisors (see below), whose sum is σ = 55296. Its totient is φ = 7200.

The previous prime is 23869. The next prime is 23873. The reversal of 23870 is 7832.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2²³⁸⁷⁰ is an apocalyptic number.

It is a pronic number, being equal to 154×155.

23870 is an abundant number, since it is smaller than the sum of its proper divisors (31426).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648).

23870 is a wasteful number, since it uses less digits than its factorization.

23870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 23870 is about 154.4991909364. The cubic root of 23870 is about 28.7928158521.

The spelling of 23870 in words is "twenty-three thousand, eight hundred seventy".