27956080 has 40 divisors (see below), whose sum is σ = 65902032. Its totient is φ = 11026944.

The previous prime is 27956077. The next prime is 27956081. The reversal of 27956080 is 8065972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27956081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3447 + ... + 8233.

Almost surely, 2^27956080 is an apocalyptic number.

27956080 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 27956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951016).

27956080 is an abundant number, since it is smaller than the sum of its proper divisors (37945952).

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

27956080 is a wasteful number, since it uses less digits than its factorization.

27956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4867 counting only the distinct ones).

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

The square root of 27956080 is about 5287.3509435255. The cubic root of 27956080 is about 303.5000438776.

The spelling of 27956080 in words is "twenty-seven million, nine hundred fifty-six thousand, eighty".