27680440 has 64 divisors (see below), whose sum is σ = 65253600. Its totient is φ = 10556928.

The previous prime is 27680423. The next prime is 27680449. The reversal of 27680440 is 4408672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87162 + ... + 87478.

Almost surely, 2^27680440 is an apocalyptic number.

27680440 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 27680440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626800).

27680440 is an abundant number, since it is smaller than the sum of its proper divisors (37573160).

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

27680440 is a wasteful number, since it uses less digits than its factorization.

27680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 27680440 is about 5261.2203907459. The cubic root of 27680440 is about 302.4992691738.

The spelling of 27680440 in words is "twenty-seven million, six hundred eighty thousand, four hundred forty".