164541024 has 96 divisors (see below), whose sum is σ = 483366240. Its totient is φ = 54452736.

The previous prime is 164541023. The next prime is 164541037. The reversal of 164541024 is 420145461.

164541024 is a `hidden beast` number, since 1 + 645 + 4 + 10 + 2 + 4 = 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164541023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 135042 + ... + 136254.

It is an arithmetic number, because the mean of its divisors is an integer number (5035065).

Almost surely, 2^164541024 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 164541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241683120).

164541024 is an abundant number, since it is smaller than the sum of its proper divisors (318825216).

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

164541024 is a wasteful number, since it uses less digits than its factorization.

164541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164541024 is about 12827.3545207108. The cubic root of 164541024 is about 547.9716183998.

Adding to 164541024 its reverse (420145461), we get a palindrome (584686485).

The spelling of 164541024 in words is "one hundred sixty-four million, five hundred forty-one thousand, twenty-four".