23320400 has 60 divisors (see below), whose sum is σ = 56518332. Its totient is φ = 9246720.

The previous prime is 23320387. The next prime is 23320421. The reversal of 23320400 is 402332.

It can be written as a sum of positive squares in 6 ways, for example, as 10816 + 23309584 = 104^2 + 4828^2 .

It is a congruent number.

It is an unprimeable number.

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, 69032 + ... + 69368.

Almost surely, 2^23320400 is an apocalyptic number.

23320400 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 23320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28259166).

23320400 is an abundant number, since it is smaller than the sum of its proper divisors (33197932).

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

23320400 is a wasteful number, since it uses less digits than its factorization.

23320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 23320400 is about 4829.1200026506. The cubic root of 23320400 is about 285.7011565396.

Adding to 23320400 its reverse (402332), we get a palindrome (23722732).

The spelling of 23320400 in words is "twenty-three million, three hundred twenty thousand, four hundred".