27132640 has 96 divisors (see below), whose sum is σ = 68475456. Its totient is φ = 10137600.

The previous prime is 27132631. The next prime is 27132643. The reversal of 27132640 is 4623172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27132643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268590 + ... + 268690.

It is an arithmetic number, because the mean of its divisors is an integer number (713286).

Almost surely, 2^27132640 is an apocalyptic number.

27132640 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 27132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237728).

27132640 is an abundant number, since it is smaller than the sum of its proper divisors (41342816).

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

27132640 is a wasteful number, since it uses less digits than its factorization.

27132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 27132640 is about 5208.9000758317. The cubic root of 27132640 is about 300.4904569954.

It can be divided in two parts, 27132 and 640, that added together give a palindrome (27772).

The spelling of 27132640 in words is "twenty-seven million, one hundred thirty-two thousand, six hundred forty".