27240400 has 120 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 9600000.

The previous prime is 27240383. The next prime is 27240403. The reversal of 27240400 is 404272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27240403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180325 + ... + 180475.

Almost surely, 2^27240400 is an apocalyptic number.

27240400 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 27240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

27240400 is an abundant number, since it is smaller than the sum of its proper divisors (46379888).

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

27240400 is a wasteful number, since it uses less digits than its factorization.

27240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 27240400 is about 5219.2336602225. The cubic root of 27240400 is about 300.8877408333.

Adding to 27240400 its reverse (404272), we get a palindrome (27644672).

The spelling of 27240400 in words is "twenty-seven million, two hundred forty thousand, four hundred".