24229920 has 192 divisors, whose sum is σ = 89921664. Its totient is φ = 5406720.

The previous prime is 24229901. The next prime is 24229939. The reversal of 24229920 is 2992242.

It is an interprime number because it is at equal distance from previous prime (24229901) and next prime (24229939).

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

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, 68464 + ... + 68816.

It is an arithmetic number, because the mean of its divisors is an integer number (468342).

Almost surely, 2^24229920 is an apocalyptic number.

24229920 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 24229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960832).

24229920 is an abundant number, since it is smaller than the sum of its proper divisors (65691744).

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

24229920 is a wasteful number, since it uses less digits than its factorization.

24229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 24229920 is about 4922.3896635679. The cubic root of 24229920 is about 289.3681049100.

The spelling of 24229920 in words is "twenty-four million, two hundred twenty-nine thousand, nine hundred twenty".