27678120 has 64 divisors (see below), whose sum is σ = 83445120. Its totient is φ = 7344384.

The previous prime is 27678103. The next prime is 27678163. The reversal of 27678120 is 2187672.

It is a Cunningham number, because it is equal to 5261²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31122 + ... + 31998.

It is an arithmetic number, because the mean of its divisors is an integer number (1303830).

Almost surely, 2^27678120 is an apocalyptic number.

27678120 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 27678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722560).

27678120 is an abundant number, since it is smaller than the sum of its proper divisors (55767000).

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

27678120 is a wasteful number, since it uses less digits than its factorization.

27678120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 27678120 is about 5260.9999049610. Note that the first 4 decimals coincide. The cubic root of 27678120 is about 302.4908177437.

The spelling of 27678120 in words is "twenty-seven million, six hundred seventy-eight thousand, one hundred twenty".