164032000 has 160 divisors (see below), whose sum is σ = 448123104. Its totient is φ = 59392000.

The previous prime is 164031991. The next prime is 164032009. The reversal of 164032000 is 230461.

It is an interprime number because it is at equal distance from previous prime (164031991) and next prime (164032009).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164032009) 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, 703884 + ... + 704116.

Almost surely, 2^164032000 is an apocalyptic number.

164032000 is a gapful number since it is divisible by the number (10) 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 164032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224061552).

164032000 is an abundant number, since it is smaller than the sum of its proper divisors (284091104).

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

164032000 is an equidigital number, since it uses as much as digits as its factorization.

164032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 164032000 is about 12807.4978040209. The cubic root of 164032000 is about 547.4059664893.

Adding to 164032000 its reverse (230461), we get a palindrome (164262461).

The spelling of 164032000 in words is "one hundred sixty-four million, thirty-two thousand".