164360 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 56256.

The previous prime is 164357. The next prime is 164363. The reversal of 164360 is 63461.

It is an interprime number because it is at equal distance from previous prime (164357) and next prime (164363).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (164363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹⁶⁴³⁶⁰ is an apocalyptic number.

164360 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 164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

164360 is an abundant number, since it is smaller than the sum of its proper divisors (259000).

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

164360 is a wasteful number, since it uses less digits than its factorization.

164360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 164360 is about 405.4133692911. The cubic root of 164360 is about 54.7770589680. Note that the first 3 decimals are identical.

The spelling of 164360 in words is "one hundred sixty-four thousand, three hundred sixty".