27655440 has 80 divisors (see below), whose sum is σ = 86452800. Its totient is φ = 7312896.

The previous prime is 27655429. The next prime is 27655457. The reversal of 27655440 is 4455672.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32946 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^27655440 is an apocalyptic number.

27655440 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 27655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43226400).

27655440 is an abundant number, since it is smaller than the sum of its proper divisors (58797360).

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

27655440 is a wasteful number, since it uses less digits than its factorization.

27655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 27655440 is about 5258.8439794312. The cubic root of 27655440 is about 302.4081728426.

The spelling of 27655440 in words is "twenty-seven million, six hundred fifty-five thousand, four hundred forty".