27148480 has 56 divisors (see below), whose sum is σ = 66184272. Its totient is φ = 10601472.

The previous prime is 27148463. The next prime is 27148489. The reversal of 27148480 is 8484172.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27148489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12774 + ... + 14746.

It is an arithmetic number, because the mean of its divisors is an integer number (1181862).

Almost surely, 2^27148480 is an apocalyptic number.

27148480 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 27148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092136).

27148480 is an abundant number, since it is smaller than the sum of its proper divisors (39035792).

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

27148480 is a wasteful number, since it uses less digits than its factorization.

27148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 27148480 is about 5210.4203285340. The cubic root of 27148480 is about 300.5489209327.

It can be divided in two parts, 2714 and 8480, that multiplied together give a triangular number (23014720 = T₆₇₈₄).

The spelling of 27148480 in words is "twenty-seven million, one hundred forty-eight thousand, four hundred eighty".