164024000 has 224 divisors, whose sum is σ = 484997760. Its totient is φ = 53760000.

The previous prime is 164023957. The next prime is 164024053. The reversal of 164024000 is 420461.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 164024000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623950 + ... + 1624050.

Almost surely, 2^164024000 is an apocalyptic number.

164024000 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 164024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

164024000 is an abundant number, since it is smaller than the sum of its proper divisors (320973760).

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

164024000 is a wasteful number, since it uses less digits than its factorization.

164024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164024000 is about 12807.1854831575. The cubic root of 164024000 is about 547.3970671710.

Adding to 164024000 its reverse (420461), we get a palindrome (164444461).

It can be divided in two parts, 16402 and 4000, that added together give a palindrome (20402).

The spelling of 164024000 in words is "one hundred sixty-four million, twenty-four thousand".