23025600 has 336 divisors, whose sum is σ = 92598240. Its totient is φ = 5529600.

The previous prime is 23025589. The next prime is 23025601. The reversal of 23025600 is 652032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23025601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561580 + ... + 561620.

It is an arithmetic number, because the mean of its divisors is an integer number (275590).

Almost surely, 2^23025600 is an apocalyptic number.

23025600 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 23025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

23025600 is an abundant number, since it is smaller than the sum of its proper divisors (69572640).

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

23025600 is a wasteful number, since it uses less digits than its factorization.

23025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23025600 is about 4798.4997655517. The cubic root of 23025600 is about 284.4921704495.

23025600 divided by its sum of digits (18) gives a triangular number (1279200 = T₁₅₉₉).

Adding to 23025600 its reverse (652032), we get a palindrome (23677632).

The spelling of 23025600 in words is "twenty-three million, twenty-five thousand, six hundred".