27705340 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 9461760.

The previous prime is 27705323. The next prime is 27705361. The reversal of 27705340 is 4350772.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27705299 and 27705308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245124 + ... + 245236.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 2^27705340 is an apocalyptic number.

27705340 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 27705340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

27705340 is an abundant number, since it is smaller than the sum of its proper divisors (39862916).

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

27705340 is a wasteful number, since it uses less digits than its factorization.

27705340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 27705340 is about 5263.5862299387. The cubic root of 27705340 is about 302.5899466147.

The spelling of 27705340 in words is "twenty-seven million, seven hundred five thousand, three hundred forty".