24829140 has 96 divisors (see below), whose sum is σ = 82059264. Its totient is φ = 5489280.

The previous prime is 24829139. The next prime is 24829141. The reversal of 24829140 is 4192842.

It is an interprime number because it is at equal distance from previous prime (24829139) and next prime (24829141).

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

It is a junction number, because it is equal to n+sod(n) for n = 24829098 and 24829107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24829141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12067 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (854784).

Almost surely, 2^24829140 is an apocalyptic number.

24829140 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 24829140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41029632).

24829140 is an abundant number, since it is smaller than the sum of its proper divisors (57230124).

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

24829140 is a wasteful number, since it uses less digits than its factorization.

24829140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 24829140 is about 4982.8847066734. The cubic root of 24829140 is about 291.7341202719.

The spelling of 24829140 in words is "twenty-four million, eight hundred twenty-nine thousand, one hundred forty".