27713640 has 64 divisors (see below), whose sum is σ = 83727360. Its totient is φ = 7338240.

The previous prime is 27713639. The next prime is 27713641. The reversal of 27713640 is 4631772.

It is an interprime number because it is at equal distance from previous prime (27713639) and next prime (27713641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27713598 and 27713607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27713641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18105 + ... + 19575.

It is an arithmetic number, because the mean of its divisors is an integer number (1308240).

Almost surely, 2^27713640 is an apocalyptic number.

27713640 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 27713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41863680).

27713640 is an abundant number, since it is smaller than the sum of its proper divisors (56013720).

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

27713640 is a wasteful number, since it uses less digits than its factorization.

27713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 27713640 is about 5264.3746067316. The cubic root of 27713640 is about 302.6201603545.

The spelling of 27713640 in words is "twenty-seven million, seven hundred thirteen thousand, six hundred forty".