164848160 has 48 divisors (see below), whose sum is σ = 393348312. Its totient is φ = 65286400.

The previous prime is 164848139. The next prime is 164848163. The reversal of 164848160 is 61848461.

It can be written as a sum of positive squares in 4 ways, for example, as 164762896 + 85264 = 12836^2 + 292^2 .

It is not an unprimeable number, because it can be changed into a prime (164848163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632110 + ... + 1632210.

Almost surely, 2^164848160 is an apocalyptic number.

164848160 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 164848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196674156).

164848160 is an abundant number, since it is smaller than the sum of its proper divisors (228500152).

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

164848160 is an frugal number, since it uses more digits than its factorization.

164848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 164848160 is about 12839.3208543131. The cubic root of 164848160 is about 548.3123585522.

The spelling of 164848160 in words is "one hundred sixty-four million, eight hundred forty-eight thousand, one hundred sixty".