23205600 has 216 divisors, whose sum is σ = 89572392. Its totient is φ = 5606400.

The previous prime is 23205599. The next prime is 23205607. The reversal of 23205600 is 650232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79054 + ... + 79346.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^23205600 is an apocalyptic number.

23205600 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 23205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786196).

23205600 is an abundant number, since it is smaller than the sum of its proper divisors (66366792).

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

23205600 is a wasteful number, since it uses less digits than its factorization.

23205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

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

The square root of 23205600 is about 4817.2191148006. The cubic root of 23205600 is about 285.2315754031.

Adding to 23205600 its reverse (650232), we get a palindrome (23855832).

The spelling of 23205600 in words is "twenty-three million, two hundred five thousand, six hundred".