24883920 has 240 divisors, whose sum is σ = 94011840. Its totient is φ = 5861376.

The previous prime is 24883897. The next prime is 24883921. The reversal of 24883920 is 2938842.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24883921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232507 + ... + 232613.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 2^24883920 is an apocalyptic number.

24883920 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 24883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005920).

24883920 is an abundant number, since it is smaller than the sum of its proper divisors (69127920).

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

24883920 is a wasteful number, since it uses less digits than its factorization.

24883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 24883920 is about 4988.3784940600. The cubic root of 24883920 is about 291.9485115946.

The spelling of 24883920 in words is "twenty-four million, eight hundred eighty-three thousand, nine hundred twenty".