27145664 has 112 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 10423296.

The previous prime is 27145639. The next prime is 27145667. The reversal of 27145664 is 46654172.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (40320) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27145667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343577 + ... + 343655.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 2^27145664 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 27145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

27145664 is an abundant number, since it is smaller than the sum of its proper divisors (41129536).

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

27145664 is a wasteful number, since it uses less digits than its factorization.

27145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 27145664 is about 5210.1500938073. The cubic root of 27145664 is about 300.5385290062.

The spelling of 27145664 in words is "twenty-seven million, one hundred forty-five thousand, six hundred sixty-four".