164115240 has 128 divisors (see below), whose sum is σ = 513285120. Its totient is φ = 41932800.

The previous prime is 164115223. The next prime is 164115241. The reversal of 164115240 is 42511461.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164115240.

It is not an unprimeable number, because it can be changed into a prime (164115241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583900 + ... + 584180.

It is an arithmetic number, because the mean of its divisors is an integer number (4010040).

Almost surely, 2^164115240 is an apocalyptic number.

164115240 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 164115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256642560).

164115240 is an abundant number, since it is smaller than the sum of its proper divisors (349169880).

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

164115240 is a wasteful number, since it uses less digits than its factorization.

164115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164115240 is about 12810.7470508164. The cubic root of 164115240 is about 547.4985467320.

The spelling of 164115240 in words is "one hundred sixty-four million, one hundred fifteen thousand, two hundred forty".