164382000 has 80 divisors (see below), whose sum is σ = 529986912. Its totient is φ = 43833600.

The previous prime is 164381981. The next prime is 164382011. The reversal of 164382000 is 283461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7699 + ... + 19698.

Almost surely, 2^164382000 is an apocalyptic number.

164382000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164382000 is an abundant number, since it is smaller than the sum of its proper divisors (365604912).

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

164382000 is a wasteful number, since it uses less digits than its factorization.

164382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27423 (or 27407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164382000 is about 12821.1543942034. The cubic root of 164382000 is about 547.7950287474.

The spelling of 164382000 in words is "one hundred sixty-four million, three hundred eighty-two thousand".