27213680 has 80 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 9922560.

The previous prime is 27213679. The next prime is 27213721. The reversal of 27213680 is 8631272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 142385 + ... + 142575.

Almost surely, 2^27213680 is an apocalyptic number.

27213680 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 27213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

27213680 is an abundant number, since it is smaller than the sum of its proper divisors (41781904).

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

27213680 is a wasteful number, since it uses less digits than its factorization.

27213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 27213680 is about 5216.6732694314. The cubic root of 27213680 is about 300.7893287862.

The spelling of 27213680 in words is "twenty-seven million, two hundred thirteen thousand, six hundred eighty".