164063328 has 384 divisors, whose sum is σ = 579156480. Its totient is φ = 39813120.

The previous prime is 164063327. The next prime is 164063357. The reversal of 164063328 is 823360461.

164063328 is digitally balanced in base 3, 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164063327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4434126 + ... + 4434162.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^164063328 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 164063328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

164063328 is an abundant number, since it is smaller than the sum of its proper divisors (415093152).

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

164063328 is a wasteful number, since it uses less digits than its factorization.

164063328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 164063328 is about 12808.7207792191. The cubic root of 164063328 is about 547.4408134347.

The spelling of 164063328 in words is "one hundred sixty-four million, sixty-three thousand, three hundred twenty-eight".