23800032 has 72 divisors (see below), whose sum is σ = 70643664. Its totient is φ = 7586304.

The previous prime is 23800031. The next prime is 23800037. The reversal of 23800032 is 23000832.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 23799978 and 23800014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23800031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4828 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (981162).

Almost surely, 2^23800032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35321832).

23800032 is an abundant number, since it is smaller than the sum of its proper divisors (46843632).

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

23800032 is a wasteful number, since it uses less digits than its factorization.

23800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3621 counting only the distinct ones).

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

The square root of 23800032 is about 4878.5276467393. The cubic root of 23800032 is about 287.6465571618.

Adding to 23800032 its reverse (23000832), we get a palindrome (46800864).

The spelling of 23800032 in words is "twenty-three million, eight hundred thousand, thirty-two".