164829312 has 96 divisors (see below), whose sum is σ = 477360000. Its totient is φ = 54590976.

The previous prime is 164829289. The next prime is 164829317. The reversal of 164829312 is 213928461.

164829312 is a `hidden beast` number, since 1 + 648 + 2 + 9 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (164829317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228889 + ... + 229607.

It is an arithmetic number, because the mean of its divisors is an integer number (4972500).

Almost surely, 2^164829312 is an apocalyptic number.

164829312 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 164829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

164829312 is an abundant number, since it is smaller than the sum of its proper divisors (312530688).

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

164829312 is a wasteful number, since it uses less digits than its factorization.

164829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164829312 is about 12838.5868381220. The cubic root of 164829312 is about 548.2914605629.

The spelling of 164829312 in words is "one hundred sixty-four million, eight hundred twenty-nine thousand, three hundred twelve".