164768 has 24 divisors (see below), whose sum is σ = 342720. Its totient is φ = 77760.

The previous prime is 164767. The next prime is 164771. The reversal of 164768 is 867461.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (164767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹⁶⁴⁷⁶⁸ 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 164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

164768 is an abundant number, since it is smaller than the sum of its proper divisors (177952).

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

164768 is a wasteful number, since it uses less digits than its factorization.

164768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 164768 is about 405.9162475191. The cubic root of 164768 is about 54.8223468985.

The spelling of 164768 in words is "one hundred sixty-four thousand, seven hundred sixty-eight".