23681400 has 96 divisors (see below), whose sum is σ = 75999600. Its totient is φ = 6092800.

The previous prime is 23681393. The next prime is 23681401. The reversal of 23681400 is 418632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16720 + ... + 18080.

Almost surely, 2^23681400 is an apocalyptic number.

23681400 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 23681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37999800).

23681400 is an abundant number, since it is smaller than the sum of its proper divisors (52318200).

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

23681400 is a wasteful number, since it uses less digits than its factorization.

23681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23681400 is about 4866.3538712264. The cubic root of 23681400 is about 287.1678331357.

The spelling of 23681400 in words is "twenty-three million, six hundred eighty-one thousand, four hundred".