27882640 has 40 divisors (see below), whose sum is σ = 66924288. Its totient is φ = 10792320.

The previous prime is 27882607. The next prime is 27882641. The reversal of 27882640 is 4628872.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×27882640² = 1554883226739200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27882640.

It is not an unprimeable number, because it can be changed into a prime (27882641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3142 + ... + 8101.

Almost surely, 2^27882640 is an apocalyptic number.

27882640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27882640 is an abundant number, since it is smaller than the sum of its proper divisors (39041648).

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

27882640 is a wasteful number, since it uses less digits than its factorization.

27882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11287 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 27882640 is about 5280.4014998862. The cubic root of 27882640 is about 303.2340481996.

The spelling of 27882640 in words is "twenty-seven million, eight hundred eighty-two thousand, six hundred forty".