23824320 has 224 divisors, whose sum is σ = 86026752. Its totient is φ = 5541888.

The previous prime is 23824301. The next prime is 23824351. The reversal of 23824320 is 2342832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286999 + ... + 287081.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 2^23824320 is an apocalyptic number.

23824320 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 23824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

23824320 is an abundant number, since it is smaller than the sum of its proper divisors (62202432).

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

23824320 is a wasteful number, since it uses less digits than its factorization.

23824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23824320 is about 4881.0162876188. The cubic root of 23824320 is about 287.7443719377.

The spelling of 23824320 in words is "twenty-three million, eight hundred twenty-four thousand, three hundred twenty".