164094320 has 80 divisors (see below), whose sum is σ = 416035872. Its totient is φ = 59827200.

The previous prime is 164094313. The next prime is 164094349. The reversal of 164094320 is 23490461.

164094320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 85370 + ... + 87270.

Almost surely, 2^164094320 is an apocalyptic number.

164094320 is a gapful number since it is divisible by the number (10) 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 164094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208017936).

164094320 is an abundant number, since it is smaller than the sum of its proper divisors (251941552).

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

164094320 is a wasteful number, since it uses less digits than its factorization.

164094320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164094320 is about 12809.9305228405. The cubic root of 164094320 is about 547.4752822741.

The spelling of 164094320 in words is "one hundred sixty-four million, ninety-four thousand, three hundred twenty".