27285940 has 48 divisors (see below), whose sum is σ = 63403200. Its totient is φ = 9780480.

The previous prime is 27285917. The next prime is 27285941. The reversal of 27285940 is 4958272.

It is a self number, because there is not a number n which added to its sum of digits gives 27285940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27285941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15211 + ... + 16909.

It is an arithmetic number, because the mean of its divisors is an integer number (1320900).

Almost surely, 2^27285940 is an apocalyptic number.

27285940 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 27285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701600).

27285940 is an abundant number, since it is smaller than the sum of its proper divisors (36117260).

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

27285940 is a wasteful number, since it uses less digits than its factorization.

27285940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 27285940 is about 5223.5945478186. The cubic root of 27285940 is about 301.0553203472.

It can be divided in two parts, 2728 and 5940, that added together give a palindrome (8668).

The spelling of 27285940 in words is "twenty-seven million, two hundred eighty-five thousand, nine hundred forty".