27620320 has 144 divisors (see below), whose sum is σ = 82047168. Its totient is φ = 8709120.

The previous prime is 27620311. The next prime is 27620323. The reversal of 27620320 is 2302672.

It is a junction number, because it is equal to n+sod(n) for n = 27620291 and 27620300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27620323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101785 + ... + 102055.

It is an arithmetic number, because the mean of its divisors is an integer number (569772).

Almost surely, 2^27620320 is an apocalyptic number.

27620320 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 27620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023584).

27620320 is an abundant number, since it is smaller than the sum of its proper divisors (54426848).

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

27620320 is a wasteful number, since it uses less digits than its factorization.

27620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 27620320 is about 5255.5037817511. The cubic root of 27620320 is about 302.2801079370.

Adding to 27620320 its reverse (2302672), we get a palindrome (29922992).

The spelling of 27620320 in words is "twenty-seven million, six hundred twenty thousand, three hundred twenty".