164644704 has 144 divisors (see below), whose sum is σ = 558759600. Its totient is φ = 47029248.

The previous prime is 164644699. The next prime is 164644717. The reversal of 164644704 is 407446461.

164644704 is a `hidden beast` number, since 1 + 6 + 4 + 644 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40392 + ... + 44280.

It is an arithmetic number, because the mean of its divisors is an integer number (3880275).

Almost surely, 2^164644704 is an apocalyptic number.

164644704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164644704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279379800).

164644704 is an abundant number, since it is smaller than the sum of its proper divisors (394114896).

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

164644704 is a wasteful number, since it uses less digits than its factorization.

164644704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 164644704 is about 12831.3952475949. The cubic root of 164644704 is about 548.0866895375.

The spelling of 164644704 in words is "one hundred sixty-four million, six hundred forty-four thousand, seven hundred four".