27152468 has 72 divisors (see below), whose sum is σ = 60759720. Its totient is φ = 10536960.

The previous prime is 27152453. The next prime is 27152507. The reversal of 27152468 is 86425172.

It can be written as a sum of positive squares in 4 ways, for example, as 9746884 + 17405584 = 3122^2 + 4172^2 .

Its product of digits (26880) is a multiple of the sum of its prime divisors (336).

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 23 ways as a sum of consecutive naturals, for example, 96488 + ... + 96768.

It is an arithmetic number, because the mean of its divisors is an integer number (843885).

Almost surely, 2^27152468 is an apocalyptic number.

27152468 is a gapful number since it is divisible by the number (28) 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 27152468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30379860).

27152468 is an abundant number, since it is smaller than the sum of its proper divisors (33607252).

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

27152468 is a wasteful number, since it uses less digits than its factorization.

27152468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 27152468 is about 5210.8030091340. The cubic root of 27152468 is about 300.5636366788.

The spelling of 27152468 in words is "twenty-seven million, one hundred fifty-two thousand, four hundred sixty-eight".