23058800 has 60 divisors (see below), whose sum is σ = 58674816. Its totient is φ = 8678400.

The previous prime is 23058797. The next prime is 23058803. The reversal of 23058800 is 885032.

It is an interprime number because it is at equal distance from previous prime (23058797) and next prime (23058803).

It is a self number, because there is not a number n which added to its sum of digits gives 23058800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23058803) 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, 5105 + ... + 8495.

Almost surely, 2^23058800 is an apocalyptic number.

23058800 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 23058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29337408).

23058800 is an abundant number, since it is smaller than the sum of its proper divisors (35616016).

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

23058800 is a wasteful number, since it uses less digits than its factorization.

23058800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 23058800 is about 4801.9579340098. The cubic root of 23058800 is about 284.6288386815.

The spelling of 23058800 in words is "twenty-three million, fifty-eight thousand, eight hundred".