23806800 has 180 divisors, whose sum is σ = 87700860. Its totient is φ = 5959680.

The previous prime is 23806789. The next prime is 23806819. The reversal of 23806800 is 860832.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 23386896 = 648^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61006 + ... + 61394.

It is an arithmetic number, because the mean of its divisors is an integer number (487227).

Almost surely, 2^23806800 is an apocalyptic number.

23806800 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 23806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43850430).

23806800 is an abundant number, since it is smaller than the sum of its proper divisors (63894060).

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

23806800 is a wasteful number, since it uses less digits than its factorization.

23806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23806800 is about 4879.2212493389. The cubic root of 23806800 is about 287.6738205340.

It can be divided in two parts, 2380 and 6800, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 23806800 in words is "twenty-three million, eight hundred six thousand, eight hundred".