164968960 has 80 divisors (see below), whose sum is σ = 426050856. Its totient is φ = 60899328.

The previous prime is 164968957. The next prime is 164968987. The reversal of 164968960 is 69869461.

It can be written as a sum of positive squares in 4 ways, for example, as 131606784 + 33362176 = 11472^2 + 5776^2 .

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

It is an unprimeable number.

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, 30802 + ... + 35758.

Almost surely, 2^164968960 is an apocalyptic number.

164968960 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 164968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213025428).

164968960 is an abundant number, since it is smaller than the sum of its proper divisors (261081896).

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

164968960 is an equidigital number, since it uses as much as digits as its factorization.

164968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 164968960 is about 12844.0242914750. The cubic root of 164968960 is about 548.4462594711.

The spelling of 164968960 in words is "one hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".