164096064 has 224 divisors, whose sum is σ = 537667200. Its totient is φ = 48660480.

The previous prime is 164096059. The next prime is 164096069. The reversal of 164096064 is 460690461.

164096064 is a `hidden beast` number, since 1 + 6 + 40 + 9 + 606 + 4 = 666.

164096064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164096059) and next prime (164096069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164096069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1691664 + ... + 1691760.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^164096064 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 164096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833600).

164096064 is an abundant number, since it is smaller than the sum of its proper divisors (373571136).

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

164096064 is a wasteful number, since it uses less digits than its factorization.

164096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164096064 is about 12809.9985948477. The cubic root of 164096064 is about 547.4772217958.

Adding to 164096064 its sum of digits (36), we get a square (164096100 = 12810²).

The spelling of 164096064 in words is "one hundred sixty-four million, ninety-six thousand, sixty-four".