27639040 has 144 divisors (see below), whose sum is σ = 78293376. Its totient is φ = 9216000.

The previous prime is 27639013. The next prime is 27639047. The reversal of 27639040 is 4093672.

It is a junction number, because it is equal to n+sod(n) for n = 27638993 and 27639011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27639047) 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 15 ways as a sum of consecutive naturals, for example, 182965 + ... + 183115.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

It is a vampire number, since it can be written as 3926 ⋅ 7040 (with its own digits).

Almost surely, 2^27639040 is an apocalyptic number.

27639040 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 27639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688).

27639040 is an abundant number, since it is smaller than the sum of its proper divisors (50654336).

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

27639040 is a wasteful number, since it uses less digits than its factorization.

27639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 27639040 is about 5257.2844701424. The cubic root of 27639040 is about 302.3483838257.

The spelling of 27639040 in words is "twenty-seven million, six hundred thirty-nine thousand, forty".