27344340 has 72 divisors (see below), whose sum is σ = 84121128. Its totient is φ = 7188480.

The previous prime is 27344329. The next prime is 27344341. The reversal of 27344340 is 4344372.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 25040016 = 1518^2 + 5004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27344341) 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, 12100 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (1168349).

Almost surely, 2^27344340 is an apocalyptic number.

27344340 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 27344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42060564).

27344340 is an abundant number, since it is smaller than the sum of its proper divisors (56776788).

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

27344340 is a wasteful number, since it uses less digits than its factorization.

27344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 27344340 is about 5229.1815803240. The cubic root of 27344340 is about 301.2699498390.

The spelling of 27344340 in words is "twenty-seven million, three hundred forty-four thousand, three hundred forty".