23670 has 24 divisors (see below), whose sum is σ = 61776. Its totient is φ = 6288.

The previous prime is 23669. The next prime is 23671. The reversal of 23670 is 7632.

It is an interprime number because it is at equal distance from previous prime (23669) and next prime (23671).

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

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

2²³⁶⁷⁰ is an apocalyptic number.

23670 is an abundant number, since it is smaller than the sum of its proper divisors (38106).

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 (30888).

23670 is a wasteful number, since it uses less digits than its factorization.

23670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 23670 is about 153.8505768595. The cubic root of 23670 is about 28.7121745788.

The spelling of 23670 in words is "twenty-three thousand, six hundred seventy".