27385344 has 160 divisors (see below), whose sum is σ = 92970240. Its totient is φ = 7796736.

The previous prime is 27385301. The next prime is 27385361. The reversal of 27385344 is 44358372.

It is a happy number.

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 = 27385299 and 27385308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96627 + ... + 96909.

It is an arithmetic number, because the mean of its divisors is an integer number (581064).

Almost surely, 2^27385344 is an apocalyptic number.

27385344 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 27385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46485120).

27385344 is an abundant number, since it is smaller than the sum of its proper divisors (65584896).

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

27385344 is an equidigital number, since it uses as much as digits as its factorization.

27385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 27385344 is about 5233.1008016280. The cubic root of 27385344 is about 301.4204636615.

The spelling of 27385344 in words is "twenty-seven million, three hundred eighty-five thousand, three hundred forty-four".