23104000 has 120 divisors (see below), whose sum is σ = 60803028. Its totient is φ = 8755200.

The previous prime is 23103991. The next prime is 23104007. The reversal of 23104000 is 40132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 7485696 = 3952^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23104007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1215991 + ... + 1216009.

Almost surely, 2^23104000 is an apocalyptic number.

23104000 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 23104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30401514).

23104000 is an abundant number, since it is smaller than the sum of its proper divisors (37699028).

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

23104000 is an frugal number, since it uses more digits than its factorization.

23104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23104000 is about 4806.6620434559. The cubic root of 23104000 is about 284.8146943561.

Multiplying 23104000 by its sum of digits (10), we get a square (231040000 = 15200²).

23104000 divided by its sum of digits (10) gives a square (2310400 = 1520²).

Adding to 23104000 its reverse (40132), we get a palindrome (23144132).

The spelling of 23104000 in words is "twenty-three million, one hundred four thousand".