27363240 has 96 divisors (see below), whose sum is σ = 92032200. Its totient is φ = 7042560.

The previous prime is 27363227. The next prime is 27363241. The reversal of 27363240 is 4236372.

27363240 is a `hidden beast` number, since 27 + 3 + 632 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25341156 + 2022084 = 5034^2 + 1422^2 .

It is not an unprimeable number, because it can be changed into a prime (27363241) 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 23 ways as a sum of consecutive naturals, for example, 9130 + ... + 11750.

Almost surely, 2^27363240 is an apocalyptic number.

27363240 is a gapful number since it is divisible by the number (20) 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 27363240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46016100).

27363240 is an abundant number, since it is smaller than the sum of its proper divisors (64668960).

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

27363240 is a wasteful number, since it uses less digits than its factorization.

27363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 27363240 is about 5230.9884343210. The cubic root of 27363240 is about 301.3393449519.

The spelling of 27363240 in words is "twenty-seven million, three hundred sixty-three thousand, two hundred forty".