27379944 has 160 divisors (see below), whose sum is σ = 83635200. Its totient is φ = 8346240.

The previous prime is 27379921. The next prime is 27379951. The reversal of 27379944 is 44997372.

It is a super-2 number, since 2×27379944² = 1499322666886272, which contains 22 as substring.

Its product of digits (381024) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 27379944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 582529 + ... + 582575.

It is an arithmetic number, because the mean of its divisors is an integer number (522720).

Almost surely, 2^27379944 is an apocalyptic number.

27379944 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 27379944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817600).

27379944 is an abundant number, since it is smaller than the sum of its proper divisors (56255256).

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

27379944 is a wasteful number, since it uses less digits than its factorization.

27379944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27379944 is about 5232.5848296994. The cubic root of 27379944 is about 301.4006504176.

The spelling of 27379944 in words is "twenty-seven million, three hundred seventy-nine thousand, nine hundred forty-four".