164211616 has 48 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 80593920.

The previous prime is 164211613. The next prime is 164211617. The reversal of 164211616 is 616112461.

It is not an unprimeable number, because it can be changed into a prime (164211611) 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 7 ways as a sum of consecutive naturals, for example, 681256 + ... + 681496.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^164211616 is an apocalyptic number.

164211616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164211616 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

164211616 is a wasteful number, since it uses less digits than its factorization.

164211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 164211616 is about 12814.5080280126. The cubic root of 164211616 is about 547.6056978503.

It can be divided in two parts, 164211 and 616, that multiplied together give a triangular number (101153976 = T₁₄₂₂₃).

The spelling of 164211616 in words is "one hundred sixty-four million, two hundred eleven thousand, six hundred sixteen".