27015040 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 9338880.

The previous prime is 27015031. The next prime is 27015047. The reversal of 27015040 is 4051072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27014999 and 27015017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141345 + ... + 141535.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^27015040 is an apocalyptic number.

27015040 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 27015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

27015040 is an abundant number, since it is smaller than the sum of its proper divisors (47012480).

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

27015040 is a wasteful number, since it uses less digits than its factorization.

27015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 27015040 is about 5197.5994458981. The cubic root of 27015040 is about 300.0556933639.

The spelling of 27015040 in words is "twenty-seven million, fifteen thousand, forty".