23386400 has 144 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 8448000.

The previous prime is 23386393. The next prime is 23386403. The reversal of 23386400 is 468332.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 23386400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23386403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570380 + ... + 570420.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^23386400 is an apocalyptic number.

23386400 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 23386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

23386400 is an abundant number, since it is smaller than the sum of its proper divisors (39609568).

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

23386400 is a wasteful number, since it uses less digits than its factorization.

23386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23386400 is about 4835.9487176768. The cubic root of 23386400 is about 285.9704274442.

The spelling of 23386400 in words is "twenty-three million, three hundred eighty-six thousand, four hundred".