164407266 has 64 divisors (see below), whose sum is σ = 401356800. Its totient is φ = 49653648.

The previous prime is 164407241. The next prime is 164407273. The reversal of 164407266 is 662704461.

164407266 is a `hidden beast` number, since 1 + 644 + 0 + 7 + 2 + 6 + 6 = 666.

It is a super-3 number, since 3×164407266³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164407266.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20115 + ... + 27081.

It is an arithmetic number, because the mean of its divisors is an integer number (6271200).

Almost surely, 2^164407266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164407266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200678400).

164407266 is an abundant number, since it is smaller than the sum of its proper divisors (236949534).

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

164407266 is a wasteful number, since it uses less digits than its factorization.

164407266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164407266 is about 12822.1396810361. The cubic root of 164407266 is about 547.8230932154.

The spelling of 164407266 in words is "one hundred sixty-four million, four hundred seven thousand, two hundred sixty-six".