23420800 has 96 divisors (see below), whose sum is σ = 62417880. Its totient is φ = 8632320.

The previous prime is 23420791. The next prime is 23420807. The reversal of 23420800 is 802432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41319 + ... + 41881.

Almost surely, 2^23420800 is an apocalyptic number.

23420800 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 23420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208940).

23420800 is an abundant number, since it is smaller than the sum of its proper divisors (38997080).

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

23420800 is a wasteful number, since it uses less digits than its factorization.

23420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 23420800 is about 4839.5041068275. The cubic root of 23420800 is about 286.1105739003.

The spelling of 23420800 in words is "twenty-three million, four hundred twenty thousand, eight hundred".