27470144 has 56 divisors (see below), whose sum is σ = 59378088. Its totient is φ = 12533760.

The previous prime is 27470141. The next prime is 27470167. The reversal of 27470144 is 44107472.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 23814400 = 1912^2 + 4880^2 .

It is a super-2 number, since 2×27470144² = 1509217622761472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27470141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113864 + ... + 114104.

It is an arithmetic number, because the mean of its divisors is an integer number (1060323).

Almost surely, 2^27470144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29689044).

27470144 is an abundant number, since it is smaller than the sum of its proper divisors (31907944).

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

27470144 is a wasteful number, since it uses less digits than its factorization.

27470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 27470144 is about 5241.1968098899. The cubic root of 27470144 is about 301.7312639392.

It can be divided in two parts, 274 and 70144, that multiplied together give a square (19219456 = 4384²).

The spelling of 27470144 in words is "twenty-seven million, four hundred seventy thousand, one hundred forty-four".