164435016 has 64 divisors (see below), whose sum is σ = 442471680. Its totient is φ = 50734080.

The previous prime is 164434997. The next prime is 164435021. The reversal of 164435016 is 610534461.

It is a super-3 number, since 3×164435016³ (a number of 26 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 21585 + ... + 28191.

It is an arithmetic number, because the mean of its divisors is an integer number (6913620).

Almost surely, 2^164435016 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 164435016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221235840).

164435016 is an abundant number, since it is smaller than the sum of its proper divisors (278036664).

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

164435016 is a wasteful number, since it uses less digits than its factorization.

164435016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 164435016 is about 12823.2217480632. The cubic root of 164435016 is about 547.8539134989.

Adding to 164435016 its reverse (610534461), we get a palindrome (774969477).

The spelling of 164435016 in words is "one hundred sixty-four million, four hundred thirty-five thousand, sixteen".