27226368 has 180 divisors, whose sum is σ = 88294668. Its totient is φ = 8294400.

The previous prime is 27226363. The next prime is 27226369. The reversal of 27226368 is 86362272.

27226368 is a `hidden beast` number, since 272 + 26 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 10969344 = 4032^2 + 3312^2 .

It is a super-2 number, since 2×27226368² = 1482550228942848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27226363) 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 19 ways as a sum of consecutive naturals, for example, 269518 + ... + 269618.

Almost surely, 2^27226368 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 27226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44147334).

27226368 is an abundant number, since it is smaller than the sum of its proper divisors (61068300).

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

27226368 is a wasteful number, since it uses less digits than its factorization.

27226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 27226368 is about 5217.8892284141. The cubic root of 27226368 is about 300.8360678042.

The spelling of 27226368 in words is "twenty-seven million, two hundred twenty-six thousand, three hundred sixty-eight".