164417190 has 64 divisors (see below), whose sum is σ = 456454656. Its totient is φ = 37124352.

The previous prime is 164417177. The next prime is 164417213. The reversal of 164417190 is 91714461.

164417190 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164417190³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12714 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (7132104).

Almost surely, 2^164417190 is an apocalyptic number.

164417190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164417190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228227328).

164417190 is an abundant number, since it is smaller than the sum of its proper divisors (292037466).

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

164417190 is a wasteful number, since it uses less digits than its factorization.

164417190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 164417190 is about 12822.5266620897. The cubic root of 164417190 is about 547.8341156135.

The spelling of 164417190 in words is "one hundred sixty-four million, four hundred seventeen thousand, one hundred ninety".