27240720 has 80 divisors (see below), whose sum is σ = 90952512. Its totient is φ = 6704640.

The previous prime is 27240691. The next prime is 27240727. The reversal of 27240720 is 2704272.

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

It is a super-2 number, since 2×27240720² = 1484113652236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27240727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246 + ... + 7485.

Almost surely, 2^27240720 is an apocalyptic number.

27240720 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 27240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45476256).

27240720 is an abundant number, since it is smaller than the sum of its proper divisors (63711792).

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

27240720 is a wasteful number, since it uses less digits than its factorization.

27240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 27240720 is about 5219.2643159740. The cubic root of 27240720 is about 300.8889190306. Note that the first 3 decimals are identical.

Adding to 27240720 its reverse (2704272), we get a palindrome (29944992).

The spelling of 27240720 in words is "twenty-seven million, two hundred forty thousand, seven hundred twenty".