23385600 has 360 divisors, whose sum is σ = 98944560. Its totient is φ = 5160960.

The previous prime is 23385587. The next prime is 23385601. The reversal of 23385600 is 658332.

23385600 is a `hidden beast` number, since 23 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23385601) 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, 806386 + ... + 806414.

It is an arithmetic number, because the mean of its divisors is an integer number (274846).

Almost surely, 2^23385600 is an apocalyptic number.

23385600 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 23385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472280).

23385600 is an abundant number, since it is smaller than the sum of its proper divisors (75558960).

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

23385600 is a wasteful number, since it uses less digits than its factorization.

23385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23385600 is about 4835.8660031064. The cubic root of 23385600 is about 285.9671665896.

The spelling of 23385600 in words is "twenty-three million, three hundred eighty-five thousand, six hundred".