24675420 has 192 divisors, whose sum is σ = 88704000. Its totient is φ = 5080320.

The previous prime is 24675407. The next prime is 24675439. The reversal of 24675420 is 2457642.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226326 + ... + 226434.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 2^24675420 is an apocalyptic number.

24675420 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 24675420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

24675420 is an abundant number, since it is smaller than the sum of its proper divisors (64028580).

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

24675420 is a wasteful number, since it uses less digits than its factorization.

24675420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 24675420 is about 4967.4359583189. The cubic root of 24675420 is about 291.1308205981.

It can be divided in two parts, 2467 and 5420, that added together give a palindrome (7887).

The spelling of 24675420 in words is "twenty-four million, six hundred seventy-five thousand, four hundred twenty".