164889306 has 48 divisors (see below), whose sum is σ = 366256800. Its totient is φ = 53594784.

The previous prime is 164889299. The next prime is 164889311. The reversal of 164889306 is 603988461.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147060 + ... + 148176.

It is an arithmetic number, because the mean of its divisors is an integer number (7630350).

Almost surely, 2^164889306 is an apocalyptic number.

164889306 is an abundant number, since it is smaller than the sum of its proper divisors (201367494).

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

164889306 is a wasteful number, since it uses less digits than its factorization.

164889306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 164889306 is about 12840.9230976593. The cubic root of 164889306 is about 548.3579742337.

The spelling of 164889306 in words is "one hundred sixty-four million, eight hundred eighty-nine thousand, three hundred six".