27456480 has 144 divisors (see below), whose sum is σ = 97886880. Its totient is φ = 6994944.

The previous prime is 27456461. The next prime is 27456509. The reversal of 27456480 is 8465472.

27456480 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 32706 + ... + 33534.

It is an arithmetic number, because the mean of its divisors is an integer number (679770).

Almost surely, 2^27456480 is an apocalyptic number.

27456480 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 27456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48943440).

27456480 is an abundant number, since it is smaller than the sum of its proper divisors (70430400).

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

27456480 is a wasteful number, since it uses less digits than its factorization.

27456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 27456480 is about 5239.8931286812. The cubic root of 27456480 is about 301.6812273156.

The spelling of 27456480 in words is "twenty-seven million, four hundred fifty-six thousand, four hundred eighty".