164415568 has 90 divisors (see below), whose sum is σ = 359114478. Its totient is φ = 72852480.

The previous prime is 164415547. The next prime is 164415649. The reversal of 164415568 is 865514461.

It can be written as a sum of positive squares in 3 ways, for example, as 103388224 + 61027344 = 10168^2 + 7812^2 .

It is a super-3 number, since 3×164415568³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164415568.

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 17 ways as a sum of consecutive naturals, for example, 4443646 + ... + 4443682.

Almost surely, 2^164415568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164415568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557239).

164415568 is an abundant number, since it is smaller than the sum of its proper divisors (194698910).

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

164415568 is a wasteful number, since it uses less digits than its factorization.

164415568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 87 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 164415568 is about 12822.4634138686. The cubic root of 164415568 is about 547.8323141193.

The spelling of 164415568 in words is "one hundred sixty-four million, four hundred fifteen thousand, five hundred sixty-eight".