27082944 has 112 divisors (see below), whose sum is σ = 91033600. Its totient is φ = 7734528.

The previous prime is 27082901. The next prime is 27082949. The reversal of 27082944 is 44928072.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 27082899 and 27082908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27082949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10977 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (812800).

Almost surely, 2^27082944 is an apocalyptic number.

27082944 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 27082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516800).

27082944 is an abundant number, since it is smaller than the sum of its proper divisors (63950656).

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

27082944 is a wasteful number, since it uses less digits than its factorization.

27082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27082944 is about 5204.1275925942. The cubic root of 27082944 is about 300.3068859630.

The spelling of 27082944 in words is "twenty-seven million, eighty-two thousand, nine hundred forty-four".