27135240 has 128 divisors (see below), whose sum is σ = 90529920. Its totient is φ = 6451200.

The previous prime is 27135217. The next prime is 27135253. The reversal of 27135240 is 4253172.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27135240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80352 + ... + 80688.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 2^27135240 is an apocalyptic number.

27135240 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 27135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45264960).

27135240 is an abundant number, since it is smaller than the sum of its proper divisors (63394680).

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

27135240 is a wasteful number, since it uses less digits than its factorization.

27135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27135240 is about 5209.1496426960. The cubic root of 27135240 is about 300.5000549094.

It can be divided in two parts, 271 and 35240, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 27135240 in words is "twenty-seven million, one hundred thirty-five thousand, two hundred forty".