27793440 has 72 divisors (see below), whose sum is σ = 94850028. Its totient is φ = 7411200.

The previous prime is 27793411. The next prime is 27793457. The reversal of 27793440 is 4439772.

It can be written as a sum of positive squares in 2 ways, for example, as 27751824 + 41616 = 5268^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27793395 and 27793404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8211 + ... + 11090.

Almost surely, 2^27793440 is an apocalyptic number.

27793440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27793440 is an abundant number, since it is smaller than the sum of its proper divisors (67056588).

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

27793440 is a wasteful number, since it uses less digits than its factorization.

27793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19322 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 27793440 is about 5271.9484064243. The cubic root of 27793440 is about 302.9103417371.

The spelling of 27793440 in words is "twenty-seven million, seven hundred ninety-three thousand, four hundred forty".