164966268 has 48 divisors (see below), whose sum is σ = 401940000. Its totient is φ = 52593408.

The previous prime is 164966267. The next prime is 164966279. The reversal of 164966268 is 862669461.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164966267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35758 + ... + 40106.

It is an arithmetic number, because the mean of its divisors is an integer number (8373750).

Almost surely, 2^164966268 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 164966268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200970000).

164966268 is an abundant number, since it is smaller than the sum of its proper divisors (236973732).

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

164966268 is a wasteful number, since it uses less digits than its factorization.

164966268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4492 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 164966268 is about 12843.9194952320. The cubic root of 164966268 is about 548.4432762324.

The spelling of 164966268 in words is "one hundred sixty-four million, nine hundred sixty-six thousand, two hundred sixty-eight".