27673540 has 24 divisors (see below), whose sum is σ = 60119640. Its totient is φ = 10687488.

The previous prime is 27673523. The next prime is 27673543. The reversal of 27673540 is 4537672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 27394756 = 528^2 + 5234^2 .

It is a super-2 number, since 2×27673540² = 1531649632263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27673496 and 27673505.

It is not an unprimeable number, because it can be changed into a prime (27673543) 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 7 ways as a sum of consecutive naturals, for example, 23277 + ... + 24436.

It is an arithmetic number, because the mean of its divisors is an integer number (2504985).

Almost surely, 2^27673540 is an apocalyptic number.

27673540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27673540 is an abundant number, since it is smaller than the sum of its proper divisors (32446100).

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

27673540 is a wasteful number, since it uses less digits than its factorization.

27673540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47751 (or 47749 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 27673540 is about 5260.5646084807. The cubic root of 27673540 is about 302.4741320684.

The spelling of 27673540 in words is "twenty-seven million, six hundred seventy-three thousand, five hundred forty".