27400164 has 48 divisors (see below), whose sum is σ = 70108416. Its totient is φ = 8260000.

The previous prime is 27400151. The next prime is 27400169. The reversal of 27400164 is 46100472.

It is not an unprimeable number, because it can be changed into a prime (27400169) 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, 32719 + ... + 33545.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 2^27400164 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 27400164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054208).

27400164 is an abundant number, since it is smaller than the sum of its proper divisors (42708252).

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

27400164 is a wasteful number, since it uses less digits than its factorization.

27400164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27400164 is about 5234.5165965923. The cubic root of 27400164 is about 301.4748266291.

The spelling of 27400164 in words is "twenty-seven million, four hundred thousand, one hundred sixty-four".