27939680 has 96 divisors (see below), whose sum is σ = 70253568. Its totient is φ = 10483200.

The previous prime is 27939679. The next prime is 27939683. The reversal of 27939680 is 8693972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27939683) by changing a digit.

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, 213215 + ... + 213345.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^27939680 is an apocalyptic number.

27939680 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 27939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

27939680 is an abundant number, since it is smaller than the sum of its proper divisors (42313888).

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

27939680 is a wasteful number, since it uses less digits than its factorization.

27939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 27939680 is about 5285.7998448674. The cubic root of 27939680 is about 303.4406844068.

The spelling of 27939680 in words is "twenty-seven million, nine hundred thirty-nine thousand, six hundred eighty".