164741824 has 56 divisors (see below), whose sum is σ = 367405920. Its totient is φ = 72720384.

The previous prime is 164741809. The next prime is 164741831. The reversal of 164741824 is 428147461.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14832 + ... + 23440.

It is an arithmetic number, because the mean of its divisors is an integer number (6560820).

Almost surely, 2^164741824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183702960).

164741824 is an abundant number, since it is smaller than the sum of its proper divisors (202664096).

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

164741824 is a wasteful number, since it uses less digits than its factorization.

164741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657 (or 8647 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 164741824 is about 12835.1791573005. The cubic root of 164741824 is about 548.1944361276.

The spelling of 164741824 in words is "one hundred sixty-four million, seven hundred forty-one thousand, eight hundred twenty-four".