164052224 has 72 divisors (see below), whose sum is σ = 383127360. Its totient is φ = 68640768.

The previous prime is 164052223. The next prime is 164052233. The reversal of 164052224 is 422250461.

It is a junction number, because it is equal to n+sod(n) for n = 164052193 and 164052202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164052221) 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, 75992 + ... + 78120.

Almost surely, 2^164052224 is an apocalyptic number.

164052224 is a gapful number since it is divisible by the number (14) 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 164052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191563680).

164052224 is an abundant number, since it is smaller than the sum of its proper divisors (219075136).

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

164052224 is an equidigital number, since it uses as much as digits as its factorization.

164052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 164052224 is about 12808.2873172021. The cubic root of 164052224 is about 547.4284626756.

The spelling of 164052224 in words is "one hundred sixty-four million, fifty-two thousand, two hundred twenty-four".