27535940 has 48 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 10356480.

The previous prime is 27535939. The next prime is 27535943. The reversal of 27535940 is 4953572.

It is a self number, because there is not a number n which added to its sum of digits gives 27535940.

It is not an unprimeable number, because it can be changed into a prime (27535943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88385 + ... + 88695.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^27535940 is an apocalyptic number.

27535940 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 27535940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

27535940 is an abundant number, since it is smaller than the sum of its proper divisors (33790780).

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

27535940 is a wasteful number, since it uses less digits than its factorization.

27535940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 27535940 is about 5247.4698665166. The cubic root of 27535940 is about 301.9719723123.

The spelling of 27535940 in words is "twenty-seven million, five hundred thirty-five thousand, nine hundred forty".