24145020 has 96 divisors (see below), whose sum is σ = 76453440. Its totient is φ = 6324480.

The previous prime is 24145019. The next prime is 24145021. The reversal of 24145020 is 2054142.

It is an interprime number because it is at equal distance from previous prime (24145019) and next prime (24145021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24144984 and 24145002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24145021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32574 + ... + 33306.

It is an arithmetic number, because the mean of its divisors is an integer number (796390).

Almost surely, 2^24145020 is an apocalyptic number.

24145020 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 24145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38226720).

24145020 is an abundant number, since it is smaller than the sum of its proper divisors (52308420).

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

24145020 is a wasteful number, since it uses less digits than its factorization.

24145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 24145020 is about 4913.7582358110. The cubic root of 24145020 is about 289.0297339729.

Adding to 24145020 its reverse (2054142), we get a palindrome (26199162).

The spelling of 24145020 in words is "twenty-four million, one hundred forty-five thousand, twenty".