164311686 has 128 divisors (see below), whose sum is σ = 466329600. Its totient is φ = 41640480.

The previous prime is 164311633. The next prime is 164311703. The reversal of 164311686 is 686113461.

164311686 = T₄₆₀ + T₄₆₁ + ... + T₁₀₂₆.

164311686 is a `hidden beast` number, since 1 + 643 + 1 + 1 + 6 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164311686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178335 + ... + 179253.

It is an arithmetic number, because the mean of its divisors is an integer number (3643200).

Almost surely, 2^164311686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164311686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233164800).

164311686 is an abundant number, since it is smaller than the sum of its proper divisors (302017914).

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

164311686 is a wasteful number, since it uses less digits than its factorization.

164311686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164311686 is about 12818.4119921307. The cubic root of 164311686 is about 547.7169116119.

The spelling of 164311686 in words is "one hundred sixty-four million, three hundred eleven thousand, six hundred eighty-six".