27268164 has 120 divisors (see below), whose sum is σ = 88955328. Its totient is φ = 7076160.

The previous prime is 27268147. The next prime is 27268181. The reversal of 27268164 is 46186272.

It is an interprime number because it is at equal distance from previous prime (27268147) and next prime (27268181).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24402 + ... + 25494.

Almost surely, 2^27268164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27268164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44477664).

27268164 is an abundant number, since it is smaller than the sum of its proper divisors (61687164).

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

27268164 is a wasteful number, since it uses less digits than its factorization.

27268164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1116 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27268164 is about 5221.8927602930. The cubic root of 27268164 is about 300.9899298699.

The spelling of 27268164 in words is "twenty-seven million, two hundred sixty-eight thousand, one hundred sixty-four".