164066320 has 120 divisors (see below), whose sum is σ = 444393432. Its totient is φ = 56094720.

The previous prime is 164066263. The next prime is 164066321. The reversal of 164066320 is 23660461.

It can be written as a sum of positive squares in 4 ways, for example, as 63425296 + 100641024 = 7964^2 + 10032^2 .

It is not an unprimeable number, because it can be changed into a prime (164066321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164062 + ... + 165058.

Almost surely, 2^164066320 is an apocalyptic number.

164066320 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 164066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222196716).

164066320 is an abundant number, since it is smaller than the sum of its proper divisors (280327112).

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

164066320 is a wasteful number, since it uses less digits than its factorization.

164066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 164066320 is about 12808.8375741126. The cubic root of 164066320 is about 547.4441412817. Note that the first 3 decimals are identical.

The spelling of 164066320 in words is "one hundred sixty-four million, sixty-six thousand, three hundred twenty".