164308320 has 432 divisors, whose sum is σ = 658790496. Its totient is φ = 37171200.

The previous prime is 164308303. The next prime is 164308363. The reversal of 164308320 is 23803461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4007500 + ... + 4007540.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^164308320 is an apocalyptic number.

164308320 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 164308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

164308320 is an abundant number, since it is smaller than the sum of its proper divisors (494482176).

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

164308320 is a wasteful number, since it uses less digits than its factorization.

164308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164308320 is about 12818.2806959436. The cubic root of 164308320 is about 547.7131715093.

The spelling of 164308320 in words is "one hundred sixty-four million, three hundred eight thousand, three hundred twenty".