27242568 has 80 divisors (see below), whose sum is σ = 80825580. Its totient is φ = 8543232.

The previous prime is 27242549. The next prime is 27242617. The reversal of 27242568 is 86524272.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 2022084 = 5022^2 + 1422^2 .

It is a super-2 number, since 2×27242568² = 1484315022469248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9780 + ... + 12252.

Almost surely, 2^27242568 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 27242568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40412790).

27242568 is an abundant number, since it is smaller than the sum of its proper divisors (53583012).

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

27242568 is a wasteful number, since it uses less digits than its factorization.

27242568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2495 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 27242568 is about 5219.4413494166. The cubic root of 27242568 is about 300.8957229397.

The spelling of 27242568 in words is "twenty-seven million, two hundred forty-two thousand, five hundred sixty-eight".