27104640 has 128 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 6838272.

The previous prime is 27104617. The next prime is 27104653. The reversal of 27104640 is 4640172.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27104640.

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 15 ways as a sum of consecutive naturals, for example, 36109 + ... + 36851.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^27104640 is an apocalyptic number.

27104640 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 27104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

27104640 is an abundant number, since it is smaller than the sum of its proper divisors (63960960).

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

27104640 is a wasteful number, since it uses less digits than its factorization.

27104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27104640 is about 5206.2116745288. The cubic root of 27104640 is about 300.3870559664.

The spelling of 27104640 in words is "twenty-seven million, one hundred four thousand, six hundred forty".