164045216 has 48 divisors (see below), whose sum is σ = 331164288. Its totient is φ = 79968000.

The previous prime is 164045213. The next prime is 164045227. The reversal of 164045216 is 612540461.

It is not an unprimeable number, because it can be changed into a prime (164045213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 233666 + ... + 234366.

It is an arithmetic number, because the mean of its divisors is an integer number (6899256).

Almost surely, 2^164045216 is an apocalyptic number.

164045216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164045216 is an abundant number, since it is smaller than the sum of its proper divisors (167119072).

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

164045216 is a wasteful number, since it uses less digits than its factorization.

164045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 164045216 is about 12808.0137414042. The cubic root of 164045216 is about 547.4206675292.

Adding to 164045216 its reverse (612540461), we get a palindrome (776585677).

The spelling of 164045216 in words is "one hundred sixty-four million, forty-five thousand, two hundred sixteen".