23461200 has 360 divisors, whose sum is σ = 99944000. Its totient is φ = 5080320.

The previous prime is 23461159. The next prime is 23461223. The reversal of 23461200 is 216432.

It is a happy number.

23461200 is a `hidden beast` number, since 2 + 3 + 461 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234791 + ... + 1234809.

Almost surely, 2^23461200 is an apocalyptic number.

23461200 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 23461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972000).

23461200 is an abundant number, since it is smaller than the sum of its proper divisors (76482800).

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

23461200 is a wasteful number, since it uses less digits than its factorization.

23461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23461200 is about 4843.6762897617. The cubic root of 23461200 is about 286.2749893962.

Adding to 23461200 its reverse (216432), we get a palindrome (23677632).

The spelling of 23461200 in words is "twenty-three million, four hundred sixty-one thousand, two hundred".