27916640 has 48 divisors (see below), whose sum is σ = 66452400. Its totient is φ = 11082240.

The previous prime is 27916639. The next prime is 27916663. The reversal of 27916640 is 4661972.

It is a self number, because there is not a number n which added to its sum of digits gives 27916640.

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 7 ways as a sum of consecutive naturals, for example, 23255 + ... + 24425.

It is an arithmetic number, because the mean of its divisors is an integer number (1384425).

Almost surely, 2^27916640 is an apocalyptic number.

27916640 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 27916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33226200).

27916640 is an abundant number, since it is smaller than the sum of its proper divisors (38535760).

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

27916640 is a wasteful number, since it uses less digits than its factorization.

27916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 27916640 is about 5283.6199711940. The cubic root of 27916640 is about 303.3572523370.

The spelling of 27916640 in words is "twenty-seven million, nine hundred sixteen thousand, six hundred forty".