27396240 has 80 divisors (see below), whose sum is σ = 85488576. Its totient is φ = 7257600.

The previous prime is 27396227. The next prime is 27396251. The reversal of 27396240 is 4269372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27396240² = 1501107932275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50370 + ... + 50910.

Almost surely, 2^27396240 is an apocalyptic number.

27396240 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 27396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744288).

27396240 is an abundant number, since it is smaller than the sum of its proper divisors (58092336).

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

27396240 is a wasteful number, since it uses less digits than its factorization.

27396240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 27396240 is about 5234.1417634604. The cubic root of 27396240 is about 301.4604344562.

The spelling of 27396240 in words is "twenty-seven million, three hundred ninety-six thousand, two hundred forty".