164330240 has 144 divisors (see below), whose sum is σ = 430466400. Its totient is φ = 59867136.

The previous prime is 164330207. The next prime is 164330249. The reversal of 164330240 is 42033461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164330249) 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 15 ways as a sum of consecutive naturals, for example, 705164 + ... + 705396.

It is an arithmetic number, because the mean of its divisors is an integer number (2989350).

Almost surely, 2^164330240 is an apocalyptic number.

164330240 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 164330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215233200).

164330240 is an abundant number, since it is smaller than the sum of its proper divisors (266136160).

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

164330240 is a wasteful number, since it uses less digits than its factorization.

164330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 164330240 is about 12819.1356962940. The cubic root of 164330240 is about 547.7375268165.

The spelling of 164330240 in words is "one hundred sixty-four million, three hundred thirty thousand, two hundred forty".