27132864 has 112 divisors (see below), whose sum is σ = 81198720. Its totient is φ = 7920640.

The previous prime is 27132839. The next prime is 27132883. The reversal of 27132864 is 46823172.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61027 + ... + 61469.

Almost surely, 2^27132864 is an apocalyptic number.

27132864 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 27132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40599360).

27132864 is an abundant number, since it is smaller than the sum of its proper divisors (54065856).

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

27132864 is a wasteful number, since it uses less digits than its factorization.

27132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 27132864 is about 5208.9215774477. The cubic root of 27132864 is about 300.4912839168.

The spelling of 27132864 in words is "twenty-seven million, one hundred thirty-two thousand, eight hundred sixty-four".