164616320 has 128 divisors (see below), whose sum is σ = 436968000. Its totient is φ = 58798080.

The previous prime is 164616317. The next prime is 164616349. The reversal of 164616320 is 23616461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 471506 + ... + 471854.

Almost surely, 2^164616320 is an apocalyptic number.

164616320 is a gapful number since it is divisible by the number (10) 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 164616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218484000).

164616320 is an abundant number, since it is smaller than the sum of its proper divisors (272351680).

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

164616320 is a wasteful number, since it uses less digits than its factorization.

164616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164616320 is about 12830.2891627586. The cubic root of 164616320 is about 548.0551918411.

The spelling of 164616320 in words is "one hundred sixty-four million, six hundred sixteen thousand, three hundred twenty".