27679960 has 192 divisors, whose sum is σ = 84268800. Its totient is φ = 7983360.

The previous prime is 27679943. The next prime is 27679991. The reversal of 27679960 is 6997672.

It is a self number, because there is not a number n which added to its sum of digits gives 27679960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643699 + ... + 643741.

It is an arithmetic number, because the mean of its divisors is an integer number (438900).

Almost surely, 2^27679960 is an apocalyptic number.

27679960 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 27679960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134400).

27679960 is an abundant number, since it is smaller than the sum of its proper divisors (56588840).

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

27679960 is a wasteful number, since it uses less digits than its factorization.

27679960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 27679960 is about 5261.1747737554. The cubic root of 27679960 is about 302.4975206408.

The spelling of 27679960 in words is "twenty-seven million, six hundred seventy-nine thousand, nine hundred sixty".