27683040 has 288 divisors, whose sum is σ = 111694464. Its totient is φ = 5698560.

The previous prime is 27683039. The next prime is 27683063. The reversal of 27683040 is 4038672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27682989 and 27683007.

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 47 ways as a sum of consecutive naturals, for example, 258667 + ... + 258773.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 2^27683040 is an apocalyptic number.

27683040 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 27683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55847232).

27683040 is an abundant number, since it is smaller than the sum of its proper divisors (84011424).

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

27683040 is a wasteful number, since it uses less digits than its factorization.

27683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27683040 is about 5261.4674759044. The cubic root of 27683040 is about 302.5087400430.

The spelling of 27683040 in words is "twenty-seven million, six hundred eighty-three thousand, forty".