164834208 has 144 divisors (see below), whose sum is σ = 584490816. Its totient is φ = 42808320.

The previous prime is 164834203. The next prime is 164834213. The reversal of 164834208 is 802438461.

164834208 is a `hidden beast` number, since 1 + 648 + 3 + 4 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (164834203) and next prime (164834213).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×164834208² = 54340632253974528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164834203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18460 + ... + 25892.

It is an arithmetic number, because the mean of its divisors is an integer number (4058964).

Almost surely, 2^164834208 is an apocalyptic number.

164834208 is a gapful number since it is divisible by the number (18) 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 164834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292245408).

164834208 is an abundant number, since it is smaller than the sum of its proper divisors (419656608).

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

164834208 is a wasteful number, since it uses less digits than its factorization.

164834208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 164834208 is about 12838.7775118973. Note that the first 3 decimals coincide. The cubic root of 164834208 is about 548.2968892260.

The spelling of 164834208 in words is "one hundred sixty-four million, eight hundred thirty-four thousand, two hundred eight".