23205824 has 28 divisors (see below), whose sum is σ = 46689264. Its totient is φ = 11441664.

The previous prime is 23205817. The next prime is 23205851. The reversal of 23205824 is 42850232.

It is a junction number, because it is equal to n+sod(n) for n = 23205793 and 23205802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2189 + ... + 7155.

Almost surely, 2^23205824 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 23205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23344632).

23205824 is an abundant number, since it is smaller than the sum of its proper divisors (23483440).

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

23205824 is an equidigital number, since it uses as much as digits as its factorization.

23205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 23205824 is about 4817.2423646730. The cubic root of 23205824 is about 285.2324931653.

The spelling of 23205824 in words is "twenty-three million, two hundred five thousand, eight hundred twenty-four".