27870640 has 80 divisors (see below), whose sum is σ = 74763072. Its totient is φ = 9464832.

The previous prime is 27870637. The next prime is 27870679. The reversal of 27870640 is 4607872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27870596 and 27870605.

It is an unprimeable number.

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, 87762 + ... + 88078.

Almost surely, 2^27870640 is an apocalyptic number.

27870640 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 27870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37381536).

27870640 is an abundant number, since it is smaller than the sum of its proper divisors (46892432).

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

27870640 is a wasteful number, since it uses less digits than its factorization.

27870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 27870640 is about 5279.2651003715. The cubic root of 27870640 is about 303.1905404743.

The spelling of 27870640 in words is "twenty-seven million, eight hundred seventy thousand, six hundred forty".