164728320 has 160 divisors (see below), whose sum is σ = 534742560. Its totient is φ = 43253760.

The previous prime is 164728211. The next prime is 164728339. The reversal of 164728320 is 23827461.

It is a tau number, because it is divible by the number of its divisors (160).

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, 683400 + ... + 683640.

It is an arithmetic number, because the mean of its divisors is an integer number (3342141).

Almost surely, 2^164728320 is an apocalyptic number.

164728320 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 164728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267371280).

164728320 is an abundant number, since it is smaller than the sum of its proper divisors (370014240).

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

164728320 is an equidigital number, since it uses as much as digits as its factorization.

164728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164728320 is about 12834.6530923122. The cubic root of 164728320 is about 548.1794570940.

The spelling of 164728320 in words is "one hundred sixty-four million, seven hundred twenty-eight thousand, three hundred twenty".