27815040 has 192 divisors, whose sum is σ = 105019200. Its totient is φ = 6727680.

The previous prime is 27815033. The next prime is 27815057. The reversal of 27815040 is 4051872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 27814995 and 27815013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63141 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (546975).

Almost surely, 2^27815040 is an apocalyptic number.

27815040 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 27815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

27815040 is an abundant number, since it is smaller than the sum of its proper divisors (77204160).

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

27815040 is a wasteful number, since it uses less digits than its factorization.

27815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 27815040 is about 5273.9965870296. The cubic root of 27815040 is about 302.9887915339.

The spelling of 27815040 in words is "twenty-seven million, eight hundred fifteen thousand, forty".