27946560 has 112 divisors (see below), whose sum is σ = 90927936. Its totient is φ = 7268352.

The previous prime is 27946559. The next prime is 27946577. The reversal of 27946560 is 6564972.

It is a congruent number.

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, 40942 + ... + 41618.

Almost surely, 2^27946560 is an apocalyptic number.

27946560 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 27946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45463968).

27946560 is an abundant number, since it is smaller than the sum of its proper divisors (62981376).

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

27946560 is a wasteful number, since it uses less digits than its factorization.

27946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 27946560 is about 5286.4506050847. The cubic root of 27946560 is about 303.4655892563.

The spelling of 27946560 in words is "twenty-seven million, nine hundred forty-six thousand, five hundred sixty".