164928216 has 64 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 52393088.

The previous prime is 164928131. The next prime is 164928229. The reversal of 164928216 is 612829461.

164928216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280675 + ... + 281261.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^164928216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164928216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

164928216 is an abundant number, since it is smaller than the sum of its proper divisors (266898984).

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

164928216 is a wasteful number, since it uses less digits than its factorization.

164928216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 164928216 is about 12842.4380862825. The cubic root of 164928216 is about 548.4011040384.

The spelling of 164928216 in words is "one hundred sixty-four million, nine hundred twenty-eight thousand, two hundred sixteen".