23424960 has 112 divisors (see below), whose sum is σ = 80138016. Its totient is φ = 5763072.

The previous prime is 23424949. The next prime is 23424979. The reversal of 23424960 is 6942432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11542 + ... + 13418.

It is an arithmetic number, because the mean of its divisors is an integer number (715518).

Almost surely, 2^23424960 is an apocalyptic number.

23424960 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 23424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40069008).

23424960 is an abundant number, since it is smaller than the sum of its proper divisors (56713056).

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

23424960 is a wasteful number, since it uses less digits than its factorization.

23424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23424960 is about 4839.9338838459. The cubic root of 23424960 is about 286.1275125406.

The spelling of 23424960 in words is "twenty-three million, four hundred twenty-four thousand, nine hundred sixty".