24628842 has 48 divisors (see below), whose sum is σ = 62038080. Its totient is φ = 6915456.

The previous prime is 24628841. The next prime is 24628843. The reversal of 24628842 is 24882642.

It is a happy number.

24628842 is a `hidden beast` number, since 24 + 628 + 8 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (24628841) and next prime (24628843).

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 junction number, because it is equal to n+sod(n) for n = 24628797 and 24628806.

It is not an unprimeable number, because it can be changed into a prime (24628841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (1292460).

Almost surely, 2^24628842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24628842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31019040).

24628842 is an abundant number, since it is smaller than the sum of its proper divisors (37409238).

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

24628842 is a wasteful number, since it uses less digits than its factorization.

24628842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3384 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 24628842 is about 4962.7454095490. The cubic root of 24628842 is about 290.9475230416.

The spelling of 24628842 in words is "twenty-four million, six hundred twenty-eight thousand, eight hundred forty-two".