164207232 has 144 divisors (see below), whose sum is σ = 549859050. Its totient is φ = 46900224.

The previous prime is 164207227. The next prime is 164207243. The reversal of 164207232 is 232702461.

164207232 is a `hidden beast` number, since 1 + 6 + 420 + 7 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 52186176 = 10584^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×164207232² = 53928030082203648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164207196 and 164207205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54994 + ... + 57902.

Almost surely, 2^164207232 is an apocalyptic number.

164207232 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 164207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274929525).

164207232 is an abundant number, since it is smaller than the sum of its proper divisors (385651818).

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

164207232 is a wasteful number, since it uses less digits than its factorization.

164207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 164207232 is about 12814.3369707527. The cubic root of 164207232 is about 547.6008246166.

Adding to 164207232 its reverse (232702461), we get a palindrome (396909693).

The spelling of 164207232 in words is "one hundred sixty-four million, two hundred seven thousand, two hundred thirty-two".