23205060 has 72 divisors (see below), whose sum is σ = 70977816. Its totient is φ = 6136320.

The previous prime is 23205011. The next prime is 23205067. The reversal of 23205060 is 6050232.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 19236996 = 1992^2 + 4386^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23205067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24190 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (985803).

Almost surely, 2^23205060 is an apocalyptic number.

23205060 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 23205060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35488908).

23205060 is an abundant number, since it is smaller than the sum of its proper divisors (47772756).

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

23205060 is a wasteful number, since it uses less digits than its factorization.

23205060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23205060 is about 4817.1630655397. The cubic root of 23205060 is about 285.2293629164.

Adding to 23205060 its sum of digits (18), we get a triangular number (23205078 = T₆₈₁₂).

Adding to 23205060 its reverse (6050232), we get a palindrome (29255292).

The spelling of 23205060 in words is "twenty-three million, two hundred five thousand, sixty".