164440160 has 24 divisors (see below), whose sum is σ = 388490256. Its totient is φ = 65776000.

The previous prime is 164440109. The next prime is 164440183. The reversal of 164440160 is 61044461.

It is a super-3 number, since 3×164440160³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 513716 + ... + 514035.

It is an arithmetic number, because the mean of its divisors is an integer number (16187094).

Almost surely, 2^164440160 is an apocalyptic number.

164440160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164440160 is an abundant number, since it is smaller than the sum of its proper divisors (224050096).

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

164440160 is a wasteful number, since it uses less digits than its factorization.

164440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027766 (or 1027758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164440160 is about 12823.4223201141. The cubic root of 164440160 is about 547.8596262544.

It can be divided in two parts, 1644401 and 60, that added together give a palindrome (1644461).

The spelling of 164440160 in words is "one hundred sixty-four million, four hundred forty thousand, one hundred sixty".