23829800 has 48 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 9028800.

The previous prime is 23829791. The next prime is 23829821. The reversal of 23829800 is 892832.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665 + ... + 6935.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^23829800 is an apocalyptic number.

23829800 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 23829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

23829800 is an abundant number, since it is smaller than the sum of its proper divisors (34499800).

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

23829800 is a wasteful number, since it uses less digits than its factorization.

23829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 23829800 is about 4881.5776138458. The cubic root of 23829800 is about 287.7664322844.

The spelling of 23829800 in words is "twenty-three million, eight hundred twenty-nine thousand, eight hundred".