164008320 has 128 divisors (see below), whose sum is σ = 597507840. Its totient is φ = 37484544.

The previous prime is 164008307. The next prime is 164008337. The reversal of 164008320 is 23800461.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7339 + ... + 19541.

It is an arithmetic number, because the mean of its divisors is an integer number (4668030).

Almost surely, 2^164008320 is an apocalyptic number.

164008320 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 164008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298753920).

164008320 is an abundant number, since it is smaller than the sum of its proper divisors (433499520).

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

164008320 is a wasteful number, since it uses less digits than its factorization.

164008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164008320 is about 12806.5733121706. The cubic root of 164008320 is about 547.3796236677.

Adding to 164008320 its reverse (23800461), we get a palindrome (187808781).

The spelling of 164008320 in words is "one hundred sixty-four million, eight thousand, three hundred twenty".