27743040 has 336 divisors, whose sum is σ = 111556800. Its totient is φ = 6469632.

The previous prime is 27743033. The next prime is 27743087. The reversal of 27743040 is 4034772.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27742995 and 27743013.

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, 1460151 + ... + 1460169.

Almost surely, 2^27743040 is an apocalyptic number.

27743040 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 27743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55778400).

27743040 is an abundant number, since it is smaller than the sum of its proper divisors (83813760).

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

27743040 is a wasteful number, since it uses less digits than its factorization.

27743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 27743040 is about 5267.1662210338. The cubic root of 27743040 is about 302.7271340136.

The spelling of 27743040 in words is "twenty-seven million, seven hundred forty-three thousand, forty".