164096 has 18 divisors (see below), whose sum is σ = 328062. Its totient is φ = 81920.

The previous prime is 164093. The next prime is 164113. The reversal of 164096 is 690461.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 4096 = 400^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (164093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65 + ... + 576.

2¹⁶⁴⁰⁹⁶ is an apocalyptic number.

164096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164096 is a deficient number, since it is larger than the sum of its proper divisors (163966).

164096 is an frugal number, since it uses more digits than its factorization.

164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 164096 is about 405.0876448375. The cubic root of 164096 is about 54.7477150621.

It can be divided in two parts, 16 and 4096, that multiplied together give a 16-th power (65536 = 2¹⁶).

The spelling of 164096 in words is "one hundred sixty-four thousand, ninety-six".