164301312 has 240 divisors, whose sum is σ = 531796320. Its totient is φ = 44900352.

The previous prime is 164301307. The next prime is 164301343. The reversal of 164301312 is 213103461.

It is a super-2 number, since 2×164301312² = 53989842249842688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2784739 + ... + 2784797.

It is an arithmetic number, because the mean of its divisors is an integer number (2215818).

Almost surely, 2^164301312 is an apocalyptic number.

164301312 is a gapful number since it is divisible by the number (12) 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 164301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

164301312 is an abundant number, since it is smaller than the sum of its proper divisors (367495008).

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

164301312 is an equidigital number, since it uses as much as digits as its factorization.

164301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 164301312 is about 12818.0073334353. The cubic root of 164301312 is about 547.7053844650.

Adding to 164301312 its reverse (213103461), we get a palindrome (377404773).

It can be divided in two parts, 164 and 301312, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 164301312 in words is "one hundred sixty-four million, three hundred one thousand, three hundred twelve".