27087984 has 180 divisors, whose sum is σ = 96478200. Its totient is φ = 7015680.

The previous prime is 27087971. The next prime is 27087989. The reversal of 27087984 is 48978072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27087989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77442 + ... + 77790.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^27087984 is an apocalyptic number.

27087984 is a gapful number since it is divisible by the number (24) 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 27087984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239100).

27087984 is an abundant number, since it is smaller than the sum of its proper divisors (69390216).

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

27087984 is a wasteful number, since it uses less digits than its factorization.

27087984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27087984 is about 5204.6118010856. The cubic root of 27087984 is about 300.3255133425.

The spelling of 27087984 in words is "twenty-seven million, eighty-seven thousand, nine hundred eighty-four".