23538800 has 60 divisors (see below), whose sum is σ = 57314040. Its totient is φ = 9288960.

The previous prime is 23538793. The next prime is 23538811. The reversal of 23538800 is 883532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32846 + ... + 33554.

It is an arithmetic number, because the mean of its divisors is an integer number (955234).

Almost surely, 2^23538800 is an apocalyptic number.

23538800 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 23538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28657020).

23538800 is an abundant number, since it is smaller than the sum of its proper divisors (33775240).

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

23538800 is a wasteful number, since it uses less digits than its factorization.

23538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 23538800 is about 4851.6801213600. The cubic root of 23538800 is about 286.5902686865.

The spelling of 23538800 in words is "twenty-three million, five hundred thirty-eight thousand, eight hundred".