164405232 has 120 divisors (see below), whose sum is σ = 490950720. Its totient is φ = 51179520.

The previous prime is 164405231. The next prime is 164405237. The reversal of 164405232 is 232504461.

It is a super-3 number, since 3×164405232³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164405196 and 164405205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164405231) 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, 584932 + ... + 585212.

It is an arithmetic number, because the mean of its divisors is an integer number (4091256).

Almost surely, 2^164405232 is an apocalyptic number.

164405232 is a gapful number since it is divisible by the number (12) 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 164405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245475360).

164405232 is an abundant number, since it is smaller than the sum of its proper divisors (326545488).

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

164405232 is a wasteful number, since it uses less digits than its factorization.

164405232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164405232 is about 12822.0603648556. The cubic root of 164405232 is about 547.8208340355.

Adding to 164405232 its reverse (232504461), we get a palindrome (396909693).

The spelling of 164405232 in words is "one hundred sixty-four million, four hundred five thousand, two hundred thirty-two".