164214432 has 48 divisors (see below), whose sum is σ = 478961280. Its totient is φ = 54737856.

The previous prime is 164214431. The next prime is 164214451. The reversal of 164214432 is 234412461.

It is a happy number.

164214432 is a `hidden beast` number, since 1 + 642 + 14 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164214396 and 164214405.

It is not an unprimeable number, because it can be changed into a prime (164214431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94168 + ... + 95895.

It is an arithmetic number, because the mean of its divisors is an integer number (9978360).

Almost surely, 2^164214432 is an apocalyptic number.

164214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164214432 is an abundant number, since it is smaller than the sum of its proper divisors (314746848).

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

164214432 is a wasteful number, since it uses less digits than its factorization.

164214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190082 (or 190068 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 164214432 is about 12814.6179030044. The cubic root of 164214432 is about 547.6088280569.

Adding to 164214432 its reverse (234412461), we get a palindrome (398626893).

The spelling of 164214432 in words is "one hundred sixty-four million, two hundred fourteen thousand, four hundred thirty-two".