164609670 has 64 divisors (see below), whose sum is σ = 415751616. Its totient is φ = 41656320.

The previous prime is 164609663. The next prime is 164609677. The reversal of 164609670 is 76906461.

It is an interprime number because it is at equal distance from previous prime (164609663) and next prime (164609677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164609677) 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 31 ways as a sum of consecutive naturals, for example, 43702 + ... + 47318.

It is an arithmetic number, because the mean of its divisors is an integer number (6496119).

Almost surely, 2^164609670 is an apocalyptic number.

164609670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164609670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207875808).

164609670 is an abundant number, since it is smaller than the sum of its proper divisors (251141946).

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

164609670 is a wasteful number, since it uses less digits than its factorization.

164609670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 164609670 is about 12830.0300077591. The cubic root of 164609670 is about 548.0478118193.

The spelling of 164609670 in words is "one hundred sixty-four million, six hundred nine thousand, six hundred seventy".