164505642 has 48 divisors (see below), whose sum is σ = 387089280. Its totient is φ = 46466112.

The previous prime is 164505619. The next prime is 164505707. The reversal of 164505642 is 246505461.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23023 + ... + 29309.

It is an arithmetic number, because the mean of its divisors is an integer number (8064360).

Almost surely, 2^164505642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164505642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193544640).

164505642 is an abundant number, since it is smaller than the sum of its proper divisors (222583638).

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

164505642 is a wasteful number, since it uses less digits than its factorization.

164505642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 164505642 is about 12825.9752845544. The cubic root of 164505642 is about 547.9323379796.

The spelling of 164505642 in words is "one hundred sixty-four million, five hundred five thousand, six hundred forty-two".