23318400 has 192 divisors, whose sum is σ = 88030080. Its totient is φ = 5314560.

The previous prime is 23318371. The next prime is 23318419. The reversal of 23318400 is 481332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67027 + ... + 67373.

It is an arithmetic number, because the mean of its divisors is an integer number (458490).

Almost surely, 2^23318400 is an apocalyptic number.

23318400 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 23318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44015040).

23318400 is an abundant number, since it is smaller than the sum of its proper divisors (64711680).

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

23318400 is a wasteful number, since it uses less digits than its factorization.

23318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23318400 is about 4828.9129211449. The cubic root of 23318400 is about 285.6929888888.

Adding to 23318400 its reverse (481332), we get a palindrome (23799732).

It can be divided in two parts, 2331 and 8400, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 23318400 in words is "twenty-three million, three hundred eighteen thousand, four hundred".