164304000 has 384 divisors, whose sum is σ = 678487680. Its totient is φ = 37324800.

The previous prime is 164303987. The next prime is 164304037. The reversal of 164304000 is 403461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007919 + ... + 1008081.

It is an arithmetic number, because the mean of its divisors is an integer number (1766895).

Almost surely, 2^164304000 is an apocalyptic number.

164304000 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 164304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339243840).

164304000 is an abundant number, since it is smaller than the sum of its proper divisors (514183680).

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

164304000 is a wasteful number, since it uses less digits than its factorization.

164304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164304000 is about 12818.1121854975. The cubic root of 164304000 is about 547.7083713027.

Adding to 164304000 its reverse (403461), we get a palindrome (164707461).

The spelling of 164304000 in words is "one hundred sixty-four million, three hundred four thousand".