27812340 has 144 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 6819840.

The previous prime is 27812339. The next prime is 27812341. The reversal of 27812340 is 4321872.

It is an interprime number because it is at equal distance from previous prime (27812339) and next prime (27812341).

It can be written as a sum of positive squares in 8 ways, for example, as 5116644 + 22695696 = 2262^2 + 4764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27812341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186586 + ... + 186734.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^27812340 is an apocalyptic number.

27812340 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 27812340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

27812340 is an abundant number, since it is smaller than the sum of its proper divisors (63588060).

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

27812340 is a wasteful number, since it uses less digits than its factorization.

27812340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27812340 is about 5273.7406079556. The cubic root of 27812340 is about 302.9789875309.

The spelling of 27812340 in words is "twenty-seven million, eight hundred twelve thousand, three hundred forty".