27682240 has 112 divisors (see below), whose sum is σ = 72237600. Its totient is φ = 10063872.

The previous prime is 27682231. The next prime is 27682247. The reversal of 27682240 is 4228672.

It is a super-2 number, since 2×27682240² = 1532612822835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27682247) 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 15 ways as a sum of consecutive naturals, for example, 176242 + ... + 176398.

Almost surely, 2^27682240 is an apocalyptic number.

27682240 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 27682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36118800).

27682240 is an abundant number, since it is smaller than the sum of its proper divisors (44555360).

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

27682240 is a wasteful number, since it uses less digits than its factorization.

27682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 27682240 is about 5261.3914509377. The cubic root of 27682240 is about 302.5058259926.

The spelling of 27682240 in words is "twenty-seven million, six hundred eighty-two thousand, two hundred forty".