164718480 has 80 divisors (see below), whose sum is σ = 516841920. Its totient is φ = 43390464.

The previous prime is 164718473. The next prime is 164718481. The reversal of 164718480 is 84817461.

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

It is not an unprimeable number, because it can be changed into a prime (164718481) by changing a digit.

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, 15786 + ... + 24054.

It is an arithmetic number, because the mean of its divisors is an integer number (6460524).

Almost surely, 2^164718480 is an apocalyptic number.

164718480 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 164718480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258420960).

164718480 is an abundant number, since it is smaller than the sum of its proper divisors (352123440).

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

164718480 is a wasteful number, since it uses less digits than its factorization.

164718480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 164718480 is about 12834.2697493858. The cubic root of 164718480 is about 548.1685417613.

The spelling of 164718480 in words is "one hundred sixty-four million, seven hundred eighteen thousand, four hundred eighty".