164686016 has 56 divisors (see below), whose sum is σ = 357987600. Its totient is φ = 74547200.

The previous prime is 164686009. The next prime is 164686019. The reversal of 164686016 is 610686461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164686019) 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, 315836 + ... + 316356.

Almost surely, 2^164686016 is an apocalyptic number.

164686016 is a gapful number since it is divisible by the number (16) 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 164686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178993800).

164686016 is an abundant number, since it is smaller than the sum of its proper divisors (193301584).

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

164686016 is a wasteful number, since it uses less digits than its factorization.

164686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 164686016 is about 12833.0049481795. The cubic root of 164686016 is about 548.1325269543.

The spelling of 164686016 in words is "one hundred sixty-four million, six hundred eighty-six thousand, sixteen".