27941320 has 96 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 9680000.

The previous prime is 27941293. The next prime is 27941321. The reversal of 27941320 is 2314972.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27941321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111195 + ... + 111445.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^27941320 is an apocalyptic number.

27941320 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 27941320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

27941320 is an abundant number, since it is smaller than the sum of its proper divisors (44453240).

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

27941320 is a wasteful number, since it uses less digits than its factorization.

27941320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 27941320 is about 5285.9549752150. The cubic root of 27941320 is about 303.4466213990.

It can be divided in two parts, 2794 and 1320, that added together give a palindrome (4114).

The spelling of 27941320 in words is "twenty-seven million, nine hundred forty-one thousand, three hundred twenty".