27242124 has 144 divisors (see below), whose sum is σ = 83623680. Its totient is φ = 6739200.

The previous prime is 27242077. The next prime is 27242147. The reversal of 27242124 is 42124272.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27242094 and 27242103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269674 + ... + 269774.

It is an arithmetic number, because the mean of its divisors is an integer number (580720).

Almost surely, 2^27242124 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 27242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811840).

27242124 is an abundant number, since it is smaller than the sum of its proper divisors (56381556).

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

27242124 is a wasteful number, since it uses less digits than its factorization.

27242124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 27242124 is about 5219.3988159557. The cubic root of 27242124 is about 300.8940882623.

Adding to 27242124 its reverse (42124272), we get a palindrome (69366396).

The spelling of 27242124 in words is "twenty-seven million, two hundred forty-two thousand, one hundred twenty-four".