164124324 has 216 divisors, whose sum is σ = 551606328. Its totient is φ = 40642560.

The previous prime is 164124319. The next prime is 164124377. The reversal of 164124324 is 423421461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 164096100 = 168^2 + 12810^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389634 + ... + 390054.

It is an arithmetic number, because the mean of its divisors is an integer number (2553733).

Almost surely, 2^164124324 is an apocalyptic number.

164124324 is a gapful number since it is divisible by the number (14) 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 164124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275803164).

164124324 is an abundant number, since it is smaller than the sum of its proper divisors (387482004).

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

164124324 is a wasteful number, since it uses less digits than its factorization.

164124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 164124324 is about 12811.1015919787. The cubic root of 164124324 is about 547.5086481401.

Adding to 164124324 its reverse (423421461), we get a palindrome (587545785).

It can be divided in two parts, 16412 and 4324, that added together give a 4-th power (20736 = 12⁴).

The spelling of 164124324 in words is "one hundred sixty-four million, one hundred twenty-four thousand, three hundred twenty-four".