27677130 has 96 divisors (see below), whose sum is σ = 73996416. Its totient is φ = 6619392.

The previous prime is 27677113. The next prime is 27677189. The reversal of 27677130 is 3177672.

It is a junction number, because it is equal to n+sod(n) for n = 27677091 and 27677100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268659 + ... + 268761.

It is an arithmetic number, because the mean of its divisors is an integer number (770796).

Almost surely, 2^27677130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27677130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998208).

27677130 is an abundant number, since it is smaller than the sum of its proper divisors (46319286).

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

27677130 is a wasteful number, since it uses less digits than its factorization.

27677130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 27677130 is about 5260.9058155417. The cubic root of 27677130 is about 302.4872111707.

The spelling of 27677130 in words is "twenty-seven million, six hundred seventy-seven thousand, one hundred thirty".