27148160 has 96 divisors (see below), whose sum is σ = 70557480. Its totient is φ = 9984000.

The previous prime is 27148151. The next prime is 27148183. The reversal of 27148160 is 6184172.

It is a zygodrome in base 2.

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 11 ways as a sum of consecutive naturals, for example, 108035 + ... + 108285.

Almost surely, 2^27148160 is an apocalyptic number.

27148160 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 27148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35278740).

27148160 is an abundant number, since it is smaller than the sum of its proper divisors (43409320).

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

27148160 is a wasteful number, since it uses less digits than its factorization.

27148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 27148160 is about 5210.3896207481. The cubic root of 27148160 is about 300.5477400682.

The spelling of 27148160 in words is "twenty-seven million, one hundred forty-eight thousand, one hundred sixty".