27079164 has 192 divisors, whose sum is σ = 88704000. Its totient is φ = 7112448.

The previous prime is 27079163. The next prime is 27079183. The reversal of 27079164 is 46197072.

It is a happy number.

It is a super-2 number, since 2×27079164² = 1466562245877792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27079163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629727 + ... + 629769.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 2^27079164 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 27079164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

27079164 is an abundant number, since it is smaller than the sum of its proper divisors (61624836).

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

27079164 is a wasteful number, since it uses less digits than its factorization.

27079164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27079164 is about 5203.7644066579. The cubic root of 27079164 is about 300.2929139117.

The spelling of 27079164 in words is "twenty-seven million, seventy-nine thousand, one hundred sixty-four".