164006016 has 64 divisors (see below), whose sum is σ = 437033280. Its totient is φ = 54494208.

The previous prime is 164005981. The next prime is 164006033. The reversal of 164006016 is 610600461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186570 + ... + 187446.

It is an arithmetic number, because the mean of its divisors is an integer number (6828645).

Almost surely, 2^164006016 is an apocalyptic number.

164006016 is a gapful number since it is divisible by the number (16) 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 164006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218516640).

164006016 is an abundant number, since it is smaller than the sum of its proper divisors (273027264).

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

164006016 is an equidigital number, since it uses as much as digits as its factorization.

164006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164006016 is about 12806.4833580495. The cubic root of 164006016 is about 547.3770604471.

Adding to 164006016 its reverse (610600461), we get a palindrome (774606477).

The spelling of 164006016 in words is "one hundred sixty-four million, six thousand, sixteen".