27742164 has 48 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 8651776.

The previous prime is 27742159. The next prime is 27742201. The reversal of 27742164 is 46124772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48472 + ... + 49040.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^27742164 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 27742164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

27742164 is an abundant number, since it is smaller than the sum of its proper divisors (41205036).

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

27742164 is a wasteful number, since it uses less digits than its factorization.

27742164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 27742164 is about 5267.0830637080. The cubic root of 27742164 is about 302.7239477278.

The spelling of 27742164 in words is "twenty-seven million, seven hundred forty-two thousand, one hundred sixty-four".