27965040 has 80 divisors (see below), whose sum is σ = 87568800. Its totient is φ = 7382016.

The previous prime is 27965039. The next prime is 27965083. The reversal of 27965040 is 4056972.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 27964992 and 27965010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25626 + ... + 26694.

It is an arithmetic number, because the mean of its divisors is an integer number (1094610).

Almost surely, 2^27965040 is an apocalyptic number.

27965040 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 27965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43784400).

27965040 is an abundant number, since it is smaller than the sum of its proper divisors (59603760).

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

27965040 is a wasteful number, since it uses less digits than its factorization.

27965040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 27965040 is about 5288.1981808552. The cubic root of 27965040 is about 303.5324646119.

The spelling of 27965040 in words is "twenty-seven million, nine hundred sixty-five thousand, forty".