164742768 has 80 divisors (see below), whose sum is σ = 497785600. Its totient is φ = 52021440.

The previous prime is 164742727. The next prime is 164742779. The reversal of 164742768 is 867247461.

164742768 is a `hidden beast` number, since 164 + 7 + 427 + 68 = 666.

164742768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1828 + ... + 18243.

It is an arithmetic number, because the mean of its divisors is an integer number (6222320).

Almost surely, 2^164742768 is an apocalyptic number.

164742768 is a gapful number since it is divisible by the number (18) 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 164742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248892800).

164742768 is an abundant number, since it is smaller than the sum of its proper divisors (333042832).

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

164742768 is a wasteful number, since it uses less digits than its factorization.

164742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20107 (or 20095 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 164742768 is about 12835.2159311793. The cubic root of 164742768 is about 548.1954832095.

The spelling of 164742768 in words is "one hundred sixty-four million, seven hundred forty-two thousand, seven hundred sixty-eight".