164386000 has 40 divisors (see below), whose sum is σ = 397490184. Its totient is φ = 65753600.

The previous prime is 164385983. The next prime is 164386009. The reversal of 164386000 is 683461.

It can be written as a sum of positive squares in 4 ways, for example, as 46185616 + 118200384 = 6796^2 + 10872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×164386000³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164386000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164386009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39097 + ... + 43096.

Almost surely, 2^164386000 is an apocalyptic number.

164386000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164386000 is an abundant number, since it is smaller than the sum of its proper divisors (233104184).

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

164386000 is an equidigital number, since it uses as much as digits as its factorization.

164386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82216 (or 82200 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 164386000 is about 12821.3103854481. The cubic root of 164386000 is about 547.7994719799.

The spelling of 164386000 in words is "one hundred sixty-four million, three hundred eighty-six thousand".