164160480 has 96 divisors (see below), whose sum is σ = 564133248. Its totient is φ = 39795200.

The previous prime is 164160467. The next prime is 164160497. The reversal of 164160480 is 84061461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10266 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (5876388).

Almost surely, 2^164160480 is an apocalyptic number.

164160480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164160480 is an abundant number, since it is smaller than the sum of its proper divisors (399972768).

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

164160480 is a wasteful number, since it uses less digits than its factorization.

164160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31120 (or 31112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 164160480 is about 12812.5126341401. The cubic root of 164160480 is about 547.5488499187.

The spelling of 164160480 in words is "one hundred sixty-four million, one hundred sixty thousand, four hundred eighty".