27661344 has 48 divisors (see below), whose sum is σ = 72884448. Its totient is φ = 9185792.

The previous prime is 27661343. The next prime is 27661351. The reversal of 27661344 is 44316672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661343) 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, 44524 + ... + 45140.

It is an arithmetic number, because the mean of its divisors is an integer number (1518426).

Almost surely, 2^27661344 is an apocalyptic number.

27661344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27661344 is an abundant number, since it is smaller than the sum of its proper divisors (45223104).

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

27661344 is a wasteful number, since it uses less digits than its factorization.

27661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 27661344 is about 5259.4052895741. The cubic root of 27661344 is about 302.4296911022.

The spelling of 27661344 in words is "twenty-seven million, six hundred sixty-one thousand, three hundred forty-four".