164968336 has 75 divisors (see below), whose sum is σ = 365444151. Its totient is φ = 72131904.

The previous prime is 164968333. The next prime is 164968337. The reversal of 164968336 is 633869461.

The square root of 164968336 is 12844.

It is a perfect power (a square), and thus also a powerful number.

164968336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 81793936 + 83174400 = 9044^2 + 9120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164968333) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8682535 + ... + 8682553.

Almost surely, 2^164968336 is an apocalyptic number.

164968336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164968336 is the 12844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164968336

164968336 is an abundant number, since it is smaller than the sum of its proper divisors (200475815).

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

164968336 is an frugal number, since it uses more digits than its factorization.

164968336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The cubic root of 164968336 is about 548.4455679654.

The spelling of 164968336 in words is "one hundred sixty-four million, nine hundred sixty-eight thousand, three hundred thirty-six".