24742168 has 32 divisors (see below), whose sum is σ = 51264000. Its totient is φ = 11100960.

The previous prime is 24742153. The next prime is 24742169. The reversal of 24742168 is 86124742.

It is a happy number.

It is a super-2 number, since 2×24742168² = 1224349754680448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24742169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5173 + ... + 8731.

It is an arithmetic number, because the mean of its divisors is an integer number (1602000).

Almost surely, 2^24742168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24742168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632000).

24742168 is an abundant number, since it is smaller than the sum of its proper divisors (26521832).

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

24742168 is a wasteful number, since it uses less digits than its factorization.

24742168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3651 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 24742168 is about 4974.1499776344. The cubic root of 24742168 is about 291.3930911018.

The spelling of 24742168 in words is "twenty-four million, seven hundred forty-two thousand, one hundred sixty-eight".