164496 has 40 divisors (see below), whose sum is σ = 446400. Its totient is φ = 52096.

The previous prime is 164477. The next prime is 164503. The reversal of 164496 is 694461.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

164496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁶⁴⁴⁹⁶ is an apocalyptic number.

164496 is a gapful number since it is divisible by the number (16) 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 164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

164496 is an abundant number, since it is smaller than the sum of its proper divisors (281904).

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

164496 is a wasteful number, since it uses less digits than its factorization.

164496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 164496 is about 405.5810646468. The cubic root of 164496 is about 54.7921632639.

The spelling of 164496 in words is "one hundred sixty-four thousand, four hundred ninety-six".