27937680 has 80 divisors (see below), whose sum is σ = 88119360. Its totient is φ = 7320064.

The previous prime is 27937669. The next prime is 27937691. The reversal of 27937680 is 8673972.

It is an interprime number because it is at equal distance from previous prime (27937669) and next prime (27937691).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13174 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (1101492).

Almost surely, 2^27937680 is an apocalyptic number.

27937680 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 27937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059680).

27937680 is an abundant number, since it is smaller than the sum of its proper divisors (60181680).

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

27937680 is a wasteful number, since it uses less digits than its factorization.

27937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 27937680 is about 5285.6106553548. The cubic root of 27937680 is about 303.4334438580.

The spelling of 27937680 in words is "twenty-seven million, nine hundred thirty-seven thousand, six hundred eighty".