164348320 has 48 divisors (see below), whose sum is σ = 394093728. Its totient is φ = 64753920.

The previous prime is 164348297. The next prime is 164348321. The reversal of 164348320 is 23843461.

It is not an unprimeable number, because it can be changed into a prime (164348321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3055 + ... + 18385.

It is an arithmetic number, because the mean of its divisors is an integer number (8210286).

Almost surely, 2^164348320 is an apocalyptic number.

164348320 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 164348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197046864).

164348320 is an abundant number, since it is smaller than the sum of its proper divisors (229745408).

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

164348320 is a wasteful number, since it uses less digits than its factorization.

164348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15413 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 164348320 is about 12819.8408726474. The cubic root of 164348320 is about 547.7576138708.

The spelling of 164348320 in words is "one hundred sixty-four million, three hundred forty-eight thousand, three hundred twenty".