27763040 has 96 divisors (see below), whose sum is σ = 71033760. Its totient is φ = 10215424.

The previous prime is 27763037. The next prime is 27763117. The reversal of 27763040 is 4036772.

It is a junction number, because it is equal to n+sod(n) for n = 27762994 and 27763012.

It is a congruent number.

It is an unprimeable number.

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, 160394 + ... + 160566.

It is an arithmetic number, because the mean of its divisors is an integer number (739935).

Almost surely, 2^27763040 is an apocalyptic number.

27763040 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 27763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35516880).

27763040 is an abundant number, since it is smaller than the sum of its proper divisors (43270720).

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

27763040 is a wasteful number, since it uses less digits than its factorization.

27763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 27763040 is about 5269.0644330849. The cubic root of 27763040 is about 302.7998620245.

The spelling of 27763040 in words is "twenty-seven million, seven hundred sixty-three thousand, forty".