27676242 has 96 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 8067600.

The previous prime is 27676223. The next prime is 27676261. The reversal of 27676242 is 24267672.

27676242 is a `hidden beast` number, since 27 + 6 + 7 + 624 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27676223) and next prime (27676261).

It is a junction number, because it is equal to n+sod(n) for n = 27676197 and 27676206.

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, 165643 + ... + 165809.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^27676242 is an apocalyptic number.

27676242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

27676242 is an abundant number, since it is smaller than the sum of its proper divisors (42770862).

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

27676242 is a wasteful number, since it uses less digits than its factorization.

27676242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 27676242 is about 5260.8214187520. The cubic root of 27676242 is about 302.4839761109.

It can be divided in two parts, 2767 and 6242, that added together give a palindrome (9009).

The spelling of 27676242 in words is "twenty-seven million, six hundred seventy-six thousand, two hundred forty-two".