27680040 has 96 divisors (see below), whose sum is σ = 93899520. Its totient is φ = 7058304.

The previous prime is 27680011. The next prime is 27680047. The reversal of 27680040 is 4008672.

It is a super-2 number, since 2×27680040² = 1532369228803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27679986 and 27680013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6609 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^27680040 is an apocalyptic number.

27680040 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 27680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949760).

27680040 is an abundant number, since it is smaller than the sum of its proper divisors (66219480).

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

27680040 is a wasteful number, since it uses less digits than its factorization.

27680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27680040 is about 5261.1823766146. The cubic root of 27680040 is about 302.4978120644.

The spelling of 27680040 in words is "twenty-seven million, six hundred eighty thousand, forty".