164806200 has 144 divisors (see below), whose sum is σ = 596133720. Its totient is φ = 40561920.

The previous prime is 164806193. The next prime is 164806207. The reversal of 164806200 is 2608461.

It is an interprime number because it is at equal distance from previous prime (164806193) and next prime (164806207).

It is a super-2 number, since 2×164806200² = 54322167116880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164806207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19879 + ... + 26921.

Almost surely, 2^164806200 is an apocalyptic number.

164806200 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 164806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298066860).

164806200 is an abundant number, since it is smaller than the sum of its proper divisors (431327520).

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

164806200 is a wasteful number, since it uses less digits than its factorization.

164806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164806200 is about 12837.6867075030. The cubic root of 164806200 is about 548.2658326281.

The spelling of 164806200 in words is "one hundred sixty-four million, eight hundred six thousand, two hundred".