164343816 has 192 divisors, whose sum is σ = 568713600. Its totient is φ = 43296768.

The previous prime is 164343799. The next prime is 164343827. The reversal of 164343816 is 618343461.

It is a happy number.

164343816 is a `hidden beast` number, since 1 + 643 + 4 + 3 + 8 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176440 + ... + 177368.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^164343816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164343816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

164343816 is an abundant number, since it is smaller than the sum of its proper divisors (404369784).

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

164343816 is a wasteful number, since it uses less digits than its factorization.

164343816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164343816 is about 12819.6652062369. The cubic root of 164343816 is about 547.7526100212.

The spelling of 164343816 in words is "one hundred sixty-four million, three hundred forty-three thousand, eight hundred sixteen".