27942544 has 60 divisors (see below), whose sum is σ = 65202300. Its totient is φ = 11553024.

The previous prime is 27942517. The next prime is 27942553. The reversal of 27942544 is 44524972.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 5017600 = 4788^2 + 2240^2 .

Its product of digits (80640) is a multiple of the sum of its prime factors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22122 + ... + 23350.

It is an arithmetic number, because the mean of its divisors is an integer number (1086705).

Almost surely, 2^27942544 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 27942544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32601150).

27942544 is an abundant number, since it is smaller than the sum of its proper divisors (37259756).

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

27942544 is a wasteful number, since it uses less digits than its factorization.

27942544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 27942544 is about 5286.0707524588. The cubic root of 27942544 is about 303.4510522711.

Multiplying 27942544 by its sum of digits (37), we get a triangular number (1033874128 = T₄₅₄₇₂).

The spelling of 27942544 in words is "twenty-seven million, nine hundred forty-two thousand, five hundred forty-four".