27608040 has 80 divisors (see below), whose sum is σ = 92804580. Its totient is φ = 7361280.

The previous prime is 27608039. The next prime is 27608057. The reversal of 27608040 is 4080672.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 171396 = 5238^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27607995 and 27608013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1021 + ... + 7500.

Almost surely, 2^27608040 is an apocalyptic number.

27608040 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 27608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46402290).

27608040 is an abundant number, since it is smaller than the sum of its proper divisors (65196540).

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

27608040 is a wasteful number, since it uses less digits than its factorization.

27608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 8531 counting only the distinct ones).

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

The square root of 27608040 is about 5254.3353528301. The cubic root of 27608040 is about 302.2353033634.

The spelling of 27608040 in words is "twenty-seven million, six hundred eight thousand, forty".