23830400 has 96 divisors (see below), whose sum is σ = 64315080. Its totient is φ = 8652800.

The previous prime is 23830397. The next prime is 23830403. The reversal of 23830400 is 403832.

It is an interprime number because it is at equal distance from previous prime (23830397) and next prime (23830403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23830403) by changing a digit.

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, 34862 + ... + 35538.

Almost surely, 2^23830400 is an apocalyptic number.

23830400 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 23830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32157540).

23830400 is an abundant number, since it is smaller than the sum of its proper divisors (40484680).

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

23830400 is a wasteful number, since it uses less digits than its factorization.

23830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23830400 is about 4881.6390690013. The cubic root of 23830400 is about 287.7688474454.

The spelling of 23830400 in words is "twenty-three million, eight hundred thirty thousand, four hundred".