164006784 has 192 divisors, whose sum is σ = 509184000. Its totient is φ = 50512896.

The previous prime is 164006749. The next prime is 164006809. The reversal of 164006784 is 487600461.

164006784 is a `hidden beast` number, since 1 + 640 + 0 + 6 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1291329 + ... + 1291455.

It is an arithmetic number, because the mean of its divisors is an integer number (2652000).

Almost surely, 2^164006784 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 164006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254592000).

164006784 is an abundant number, since it is smaller than the sum of its proper divisors (345177216).

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

164006784 is a wasteful number, since it uses less digits than its factorization.

164006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 164006784 is about 12806.5133428268. The cubic root of 164006784 is about 547.3779148566.

The spelling of 164006784 in words is "one hundred sixty-four million, six thousand, seven hundred eighty-four".