23630 has 16 divisors (see below), whose sum is σ = 45360. Its totient is φ = 8832.

The previous prime is 23629. The next prime is 23633. The reversal of 23630 is 3632.

23630 = T₄₄ + T₄₅ + ... + T₆₀.

23630 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a super-3 number, since 3×23630³ = 39583338441000, which contains 333 as substring.

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

23630 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23633) 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, 101 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2²³⁶³⁰ is an apocalyptic number.

23630 is a deficient number, since it is larger than the sum of its proper divisors (21730).

23630 is a wasteful number, since it uses less digits than its factorization.

23630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23630 is about 153.7205256301. The cubic root of 23630 is about 28.6959918646.

It can be divided in two parts, 2 and 3630, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 23630 in words is "twenty-three thousand, six hundred thirty".