27363168 has 144 divisors (see below), whose sum is σ = 91072800. Its totient is φ = 7789824.

The previous prime is 27363157. The next prime is 27363181. The reversal of 27363168 is 86136372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98646 + ... + 98922.

It is an arithmetic number, because the mean of its divisors is an integer number (632450).

Almost surely, 2^27363168 is an apocalyptic number.

27363168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27363168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45536400).

27363168 is an abundant number, since it is smaller than the sum of its proper divisors (63709632).

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

27363168 is a wasteful number, since it uses less digits than its factorization.

27363168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 27363168 is about 5230.9815522519. The cubic root of 27363168 is about 301.3390806502.

The spelling of 27363168 in words is "twenty-seven million, three hundred sixty-three thousand, one hundred sixty-eight".