27680472 has 48 divisors (see below), whose sum is σ = 75689640. Its totient is φ = 9138048.

The previous prime is 27680459. The next prime is 27680479. The reversal of 27680472 is 27408672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5908 + ... + 9500.

Almost surely, 2^27680472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27680472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37844820).

27680472 is an abundant number, since it is smaller than the sum of its proper divisors (48009168).

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

27680472 is a wasteful number, since it uses less digits than its factorization.

27680472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27680472 is about 5261.2234318645. The cubic root of 27680472 is about 302.4993857420.

The spelling of 27680472 in words is "twenty-seven million, six hundred eighty thousand, four hundred seventy-two".