164123616 has 48 divisors (see below), whose sum is σ = 438966864. Its totient is φ = 53673984.

The previous prime is 164123591. The next prime is 164123639. The reversal of 164123616 is 616321461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×164123616² = 53873122657830912, which contains 22 as substring.

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

It is a congruent number.

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, 11041 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (9145143).

Almost surely, 2^164123616 is an apocalyptic number.

164123616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164123616 is an abundant number, since it is smaller than the sum of its proper divisors (274843248).

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

164123616 is a wasteful number, since it uses less digits than its factorization.

164123616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32323 (or 32315 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 164123616 is about 12811.0739596647. The cubic root of 164123616 is about 547.5078608575.

The spelling of 164123616 in words is "one hundred sixty-four million, one hundred twenty-three thousand, six hundred sixteen".