27691740 has 96 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 6993216.

The previous prime is 27691693. The next prime is 27691757. The reversal of 27691740 is 4719672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27691695 and 27691704.

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 31 ways as a sum of consecutive naturals, for example, 8911 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^27691740 is an apocalyptic number.

27691740 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 27691740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

27691740 is an abundant number, since it is smaller than the sum of its proper divisors (63028260).

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

27691740 is a wasteful number, since it uses less digits than its factorization.

27691740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27691740 is about 5262.2941764975. The cubic root of 27691740 is about 302.5404267169.

The spelling of 27691740 in words is "twenty-seven million, six hundred ninety-one thousand, seven hundred forty".