164062200 has 96 divisors (see below), whose sum is σ = 520502400. Its totient is φ = 42725760.

The previous prime is 164062177. The next prime is 164062229. The reversal of 164062200 is 2260461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22621 + ... + 28979.

It is an arithmetic number, because the mean of its divisors is an integer number (5421900).

Almost surely, 2^164062200 is an apocalyptic number.

164062200 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 164062200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260251200).

164062200 is an abundant number, since it is smaller than the sum of its proper divisors (356440200).

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

164062200 is a wasteful number, since it uses less digits than its factorization.

164062200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164062200 is about 12808.6767466433. The cubic root of 164062200 is about 547.4395588081.

The spelling of 164062200 in words is "one hundred sixty-four million, sixty-two thousand, two hundred".