27642340 has 96 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 8939520.

The previous prime is 27642317. The next prime is 27642383. The reversal of 27642340 is 4324672.

It is a junction number, because it is equal to n+sod(n) for n = 27642299 and 27642308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70866 + ... + 71254.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^27642340 is an apocalyptic number.

27642340 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 27642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

27642340 is an abundant number, since it is smaller than the sum of its proper divisors (43119260).

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

27642340 is a wasteful number, since it uses less digits than its factorization.

27642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 27642340 is about 5257.5983110162. The cubic root of 27642340 is about 302.3604164429.

It can be divided in two parts, 27642 and 340, that multiplied together give a triangular number (9398280 = T₄₃₃₅).

The spelling of 27642340 in words is "twenty-seven million, six hundred forty-two thousand, three hundred forty".