164452064 has 96 divisors (see below), whose sum is σ = 382656960. Its totient is φ = 68124672.

The previous prime is 164452063. The next prime is 164452091. The reversal of 164452064 is 460254461.

164452064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 164452064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164452063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455272 + ... + 1455384.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^164452064 is an apocalyptic number.

164452064 is a gapful number since it is divisible by the number (14) 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 164452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191328480).

164452064 is an abundant number, since it is smaller than the sum of its proper divisors (218204896).

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

164452064 is a wasteful number, since it uses less digits than its factorization.

164452064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 164452064 is about 12823.8864623795. The cubic root of 164452064 is about 547.8728459845.

The spelling of 164452064 in words is "one hundred sixty-four million, four hundred fifty-two thousand, sixty-four".