164223360 has 192 divisors, whose sum is σ = 648254880. Its totient is φ = 37527552.

The previous prime is 164223359. The next prime is 164223361. The reversal of 164223360 is 63322461.

It is an interprime number because it is at equal distance from previous prime (164223359) and next prime (164223361).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164223361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38284 + ... + 42356.

Almost surely, 2^164223360 is an apocalyptic number.

164223360 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 164223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324127440).

164223360 is an abundant number, since it is smaller than the sum of its proper divisors (484031520).

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

164223360 is a wasteful number, since it uses less digits than its factorization.

164223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 164223360 is about 12814.9662504433. The cubic root of 164223360 is about 547.6187519979.

The spelling of 164223360 in words is "one hundred sixty-four million, two hundred twenty-three thousand, three hundred sixty".