23004000 has 240 divisors, whose sum is σ = 85621536. Its totient is φ = 6048000.

The previous prime is 23003977. The next prime is 23004013. The reversal of 23004000 is 40032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 323965 + ... + 324035.

Almost surely, 2^23004000 is an apocalyptic number.

23004000 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 23004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

23004000 is an abundant number, since it is smaller than the sum of its proper divisors (62617536).

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

23004000 is an equidigital number, since it uses as much as digits as its factorization.

23004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23004000 is about 4796.2485340107. The cubic root of 23004000 is about 284.4031832149.

Adding to 23004000 its reverse (40032), we get a palindrome (23044032).

The spelling of 23004000 in words is "twenty-three million, four thousand".