164313240 has 256 divisors, whose sum is σ = 623185920. Its totient is φ = 33730560.

The previous prime is 164313209. The next prime is 164313251. The reversal of 164313240 is 42313461.

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 164313240.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 447537 + ... + 447903.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^164313240 is an apocalyptic number.

164313240 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 164313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311592960).

164313240 is an abundant number, since it is smaller than the sum of its proper divisors (458872680).

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

164313240 is a wasteful number, since it uses less digits than its factorization.

164313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164313240 is about 12818.4726079202. The cubic root of 164313240 is about 547.7186383087.

The spelling of 164313240 in words is "one hundred sixty-four million, three hundred thirteen thousand, two hundred forty".