27144240 has 80 divisors (see below), whose sum is σ = 89110368. Its totient is φ = 6811648.

The previous prime is 27144193. The next prime is 27144259. The reversal of 27144240 is 4244172.

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

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27144240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754 + ... + 7406.

Almost surely, 2^27144240 is an apocalyptic number.

27144240 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 27144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44555184).

27144240 is an abundant number, since it is smaller than the sum of its proper divisors (61966128).

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

27144240 is a wasteful number, since it uses less digits than its factorization.

27144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6686 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27144240 is about 5210.0134356833. The cubic root of 27144240 is about 300.5332737243.

The spelling of 27144240 in words is "twenty-seven million, one hundred forty-four thousand, two hundred forty".