23126400 has 288 divisors, whose sum is σ = 91255320. Its totient is φ = 5529600.

The previous prime is 23126399. The next prime is 23126413. The reversal of 23126400 is 462132.

It is a happy number.

23126400 is a `hidden beast` number, since 23 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 316764 + ... + 316836.

Almost surely, 2^23126400 is an apocalyptic number.

23126400 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 23126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627660).

23126400 is an abundant number, since it is smaller than the sum of its proper divisors (68128920).

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

23126400 is a wasteful number, since it uses less digits than its factorization.

23126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

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

The square root of 23126400 is about 4808.9915782833. The cubic root of 23126400 is about 284.9067100020.

Adding to 23126400 its reverse (462132), we get a palindrome (23588532).

The spelling of 23126400 in words is "twenty-three million, one hundred twenty-six thousand, four hundred".