27027936 has 72 divisors (see below), whose sum is σ = 82784520. Its totient is φ = 8315136.

The previous prime is 27027883. The next prime is 27027989. The reversal of 27027936 is 63972072.

It is an interprime number because it is at equal distance from previous prime (27027883) and next prime (27027989).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27027936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (1149785).

Almost surely, 2^27027936 is an apocalyptic number.

27027936 is a gapful number since it is divisible by the number (26) 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 27027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392260).

27027936 is an abundant number, since it is smaller than the sum of its proper divisors (55756584).

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

27027936 is a wasteful number, since it uses less digits than its factorization.

27027936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 27027936 is about 5198.8398705865. The cubic root of 27027936 is about 300.1034310027.

The spelling of 27027936 in words is "twenty-seven million, twenty-seven thousand, nine hundred thirty-six".