27905680 has 80 divisors (see below), whose sum is σ = 74548800. Its totient is φ = 9607680.

The previous prime is 27905671. The next prime is 27905681. The reversal of 27905680 is 8650972.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27905681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15886 + ... + 17554.

It is an arithmetic number, because the mean of its divisors is an integer number (931860).

Almost surely, 2^27905680 is an apocalyptic number.

27905680 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 27905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37274400).

27905680 is an abundant number, since it is smaller than the sum of its proper divisors (46643120).

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

27905680 is a wasteful number, since it uses less digits than its factorization.

27905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 27905680 is about 5282.5827016716. The cubic root of 27905680 is about 303.3175480522.

The spelling of 27905680 in words is "twenty-seven million, nine hundred five thousand, six hundred eighty".