164096640 has 192 divisors, whose sum is σ = 585561600. Its totient is φ = 42301440.

The previous prime is 164096633. The next prime is 164096663. The reversal of 164096640 is 46690461.

164096640 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 6 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 164096595 and 164096604.

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 23 ways as a sum of consecutive naturals, for example, 178101 + ... + 179019.

It is an arithmetic number, because the mean of its divisors is an integer number (3049800).

Almost surely, 2^164096640 is an apocalyptic number.

164096640 is a gapful number since it is divisible by the number (10) 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 164096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292780800).

164096640 is an abundant number, since it is smaller than the sum of its proper divisors (421464960).

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

164096640 is a wasteful number, since it uses less digits than its factorization.

164096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

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

The square root of 164096640 is about 12810.0210772660. The cubic root of 164096640 is about 547.4778623688.

The spelling of 164096640 in words is "one hundred sixty-four million, ninety-six thousand, six hundred forty".