23424000 has 176 divisors, whose sum is σ = 79194336. Its totient is φ = 6144000.

The previous prime is 23423993. The next prime is 23424013. The reversal of 23424000 is 42432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383970 + ... + 384030.

Almost surely, 2^23424000 is an apocalyptic number.

23424000 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 23424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597168).

23424000 is an abundant number, since it is smaller than the sum of its proper divisors (55770336).

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

23424000 is an equidigital number, since it uses as much as digits as its factorization.

23424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 23424000 is about 4839.8347079213. The cubic root of 23424000 is about 286.1236038016.

Adding to 23424000 its reverse (42432), we get a palindrome (23466432).

The spelling of 23424000 in words is "twenty-three million, four hundred twenty-four thousand".