23205260 has 48 divisors (see below), whose sum is σ = 52920000. Its totient is φ = 8496384.

The previous prime is 23205239. The next prime is 23205269. The reversal of 23205260 is 6250232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23205269) 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, 38441 + ... + 39039.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 2^23205260 is an apocalyptic number.

23205260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460000).

23205260 is an abundant number, since it is smaller than the sum of its proper divisors (29714740).

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

23205260 is a wasteful number, since it uses less digits than its factorization.

23205260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23205260 is about 4817.1838246013. The cubic root of 23205260 is about 285.2301823599.

Adding to 23205260 its reverse (6250232), we get a palindrome (29455492).

The spelling of 23205260 in words is "twenty-three million, two hundred five thousand, two hundred sixty".