164374364 has 48 divisors (see below), whose sum is σ = 359686656. Its totient is φ = 63854400.

The previous prime is 164374361. The next prime is 164374391. The reversal of 164374364 is 463473461.

It is a happy number.

164374364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164374361) 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, 154394 + ... + 155454.

It is an arithmetic number, because the mean of its divisors is an integer number (7493472).

Almost surely, 2^164374364 is an apocalyptic number.

164374364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164374364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179843328).

164374364 is an abundant number, since it is smaller than the sum of its proper divisors (195312292).

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

164374364 is a wasteful number, since it uses less digits than its factorization.

164374364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 164374364 is about 12820.8566016472. The cubic root of 164374364 is about 547.7865464164.

The spelling of 164374364 in words is "one hundred sixty-four million, three hundred seventy-four thousand, three hundred sixty-four".