164792064 has 72 divisors (see below), whose sum is σ = 440972560. Its totient is φ = 54632448.

The previous prime is 164792059. The next prime is 164792071. The reversal of 164792064 is 460297461.

It is a happy number.

164792064 is digitally balanced in base 3, 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 7 ways as a sum of consecutive naturals, for example, 175404 + ... + 176340.

Almost surely, 2^164792064 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 164792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220486280).

164792064 is an abundant number, since it is smaller than the sum of its proper divisors (276180496).

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

164792064 is an equidigital number, since it uses as much as digits as its factorization.

164792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 164792064 is about 12837.1361292151. The cubic root of 164792064 is about 548.2501566252.

The spelling of 164792064 in words is "one hundred sixty-four million, seven hundred ninety-two thousand, sixty-four".