27268344 has 96 divisors (see below), whose sum is σ = 80371200. Its totient is φ = 8320320.

The previous prime is 27268337. The next prime is 27268379. The reversal of 27268344 is 44386272.

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

It is a junction number, because it is equal to n+sod(n) for n = 27268299 and 27268308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42087 + ... + 42729.

It is an arithmetic number, because the mean of its divisors is an integer number (837200).

Almost surely, 2^27268344 is an apocalyptic number.

27268344 is a gapful number since it is divisible by the number (24) 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 27268344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40185600).

27268344 is an abundant number, since it is smaller than the sum of its proper divisors (53102856).

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

27268344 is a wasteful number, since it uses less digits than its factorization.

27268344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 27268344 is about 5221.9099953944. The cubic root of 27268344 is about 300.9905921571.

The spelling of 27268344 in words is "twenty-seven million, two hundred sixty-eight thousand, three hundred forty-four".