27942540 has 96 divisors (see below), whose sum is σ = 83435520. Its totient is φ = 6967296.

The previous prime is 27942517. The next prime is 27942553. The reversal of 27942540 is 4524972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144684 + ... + 144876.

It is an arithmetic number, because the mean of its divisors is an integer number (869120).

Almost surely, 2^27942540 is an apocalyptic number.

27942540 is a gapful number since it is divisible by the number (20) 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 27942540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41717760).

27942540 is an abundant number, since it is smaller than the sum of its proper divisors (55492980).

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

27942540 is a wasteful number, since it uses less digits than its factorization.

27942540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 27942540 is about 5286.0703741059. The cubic root of 27942540 is about 303.4510377913.

It can be divided in two parts, 27942 and 540, that added together give a palindrome (28482).

The spelling of 27942540 in words is "twenty-seven million, nine hundred forty-two thousand, five hundred forty".