27966320 has 20 divisors (see below), whose sum is σ = 65021880. Its totient is φ = 11186496.

The previous prime is 27966313. The next prime is 27966331. The reversal of 27966320 is 2366972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174710 + ... + 174869.

It is an arithmetic number, because the mean of its divisors is an integer number (3251094).

Almost surely, 2^27966320 is an apocalyptic number.

27966320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27966320 is an abundant number, since it is smaller than the sum of its proper divisors (37055560).

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

27966320 is a wasteful number, since it uses less digits than its factorization.

27966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349592 (or 349586 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 27966320 is about 5288.3192036790. The cubic root of 27966320 is about 303.5370955800.

The spelling of 27966320 in words is "twenty-seven million, nine hundred sixty-six thousand, three hundred twenty".