27736540 has 48 divisors (see below), whose sum is σ = 63376992. Its totient is φ = 10135296.

The previous prime is 27736507. The next prime is 27736559. The reversal of 27736540 is 4563772.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27736496 and 27736505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27322 + ... + 28318.

It is an arithmetic number, because the mean of its divisors is an integer number (1320354).

Almost surely, 2^27736540 is an apocalyptic number.

27736540 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 27736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31688496).

27736540 is an abundant number, since it is smaller than the sum of its proper divisors (35640452).

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

27736540 is a wasteful number, since it uses less digits than its factorization.

27736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 27736540 is about 5266.5491548072. The cubic root of 27736540 is about 302.7034898844.

The spelling of 27736540 in words is "twenty-seven million, seven hundred thirty-six thousand, five hundred forty".