164464 has 20 divisors (see below), whose sum is σ = 336040. Its totient is φ = 77760.

The previous prime is 164449. The next prime is 164471. The reversal of 164464 is 464461.

It is a congruent number.

It is an unprimeable number.

164464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 574.

It is an arithmetic number, because the mean of its divisors is an integer number (16802).

2¹⁶⁴⁴⁶⁴ 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 164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168020).

164464 is an abundant number, since it is smaller than the sum of its proper divisors (171576).

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

164464 is a wasteful number, since it uses less digits than its factorization.

164464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 164464 is about 405.5416131546. The cubic root of 164464 is about 54.7886100611.

The spelling of 164464 in words is "one hundred sixty-four thousand, four hundred sixty-four".