27836480 has 168 divisors, whose sum is σ = 82344768. Its totient is φ = 8773632.

The previous prime is 27836477. The next prime is 27836483. The reversal of 27836480 is 8463872.

It is an interprime number because it is at equal distance from previous prime (27836477) and next prime (27836483).

It is not an unprimeable number, because it can be changed into a prime (27836483) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 647339 + ... + 647381.

Almost surely, 2^27836480 is an apocalyptic number.

27836480 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 27836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41172384).

27836480 is an abundant number, since it is smaller than the sum of its proper divisors (54508288).

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

27836480 is a wasteful number, since it uses less digits than its factorization.

27836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 27836480 is about 5276.0288096257. The cubic root of 27836480 is about 303.0666200676.

The spelling of 27836480 in words is "twenty-seven million, eight hundred thirty-six thousand, four hundred eighty".