164360000 has 140 divisors (see below), whose sum is σ = 466575648. Its totient is φ = 56256000.

The previous prime is 164359999. The next prime is 164360033. The reversal of 164360000 is 63461.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279707 + ... + 280293.

Almost surely, 2^164360000 is an apocalyptic number.

164360000 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 164360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233287824).

164360000 is an abundant number, since it is smaller than the sum of its proper divisors (302215648).

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

164360000 is an frugal number, since it uses more digits than its factorization.

164360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 164360000 is about 12820.2964084299. The cubic root of 164360000 is about 547.7705896801.

The spelling of 164360000 in words is "one hundred sixty-four million, three hundred sixty thousand".