27730640 has 80 divisors (see below), whose sum is σ = 76923648. Its totient is φ = 9090048.

The previous prime is 27730631. The next prime is 27730667. The reversal of 27730640 is 4603772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 11804 + ... + 13956.

Almost surely, 2^27730640 is an apocalyptic number.

27730640 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 27730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38461824).

27730640 is an abundant number, since it is smaller than the sum of its proper divisors (49193008).

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

27730640 is a wasteful number, since it uses less digits than its factorization.

27730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 27730640 is about 5265.9889859361. The cubic root of 27730640 is about 302.6820250917.

The spelling of 27730640 in words is "twenty-seven million, seven hundred thirty thousand, six hundred forty".