27282240 has 84 divisors (see below), whose sum is σ = 93849444. Its totient is φ = 7274496.

The previous prime is 27282197. The next prime is 27282251. The reversal of 27282240 is 4228272.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 7354944 = 4464^2 + 2712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 7616.

Almost surely, 2^27282240 is an apocalyptic number.

27282240 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 27282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46924722).

27282240 is an abundant number, since it is smaller than the sum of its proper divisors (66567204).

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

27282240 is a wasteful number, since it uses less digits than its factorization.

27282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27282240 is about 5223.2403735612. The cubic root of 27282240 is about 301.0417119341.

The spelling of 27282240 in words is "twenty-seven million, two hundred eighty-two thousand, two hundred forty".