27936480 has 288 divisors, whose sum is σ = 106983072. Its totient is φ = 6082560.

The previous prime is 27936473. The next prime is 27936509. The reversal of 27936480 is 8463972.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 755022 + ... + 755058.

It is an arithmetic number, because the mean of its divisors is an integer number (371469).

Almost surely, 2^27936480 is an apocalyptic number.

27936480 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 27936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491536).

27936480 is an abundant number, since it is smaller than the sum of its proper divisors (79046592).

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

27936480 is a wasteful number, since it uses less digits than its factorization.

27936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 27936480 is about 5285.4971383967. The cubic root of 27936480 is about 303.4290993629.

The spelling of 27936480 in words is "twenty-seven million, nine hundred thirty-six thousand, four hundred eighty".