164364024 has 128 divisors (see below), whose sum is σ = 484289280. Its totient is φ = 45926400.

The previous prime is 164364023. The next prime is 164364047. The reversal of 164364024 is 420463461.

It is a junction number, because it is equal to n+sod(n) for n = 164363982 and 164364000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164364023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237519 + ... + 238209.

It is an arithmetic number, because the mean of its divisors is an integer number (3783510).

Almost surely, 2^164364024 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 164364024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242144640).

164364024 is an abundant number, since it is smaller than the sum of its proper divisors (319925256).

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

164364024 is a wasteful number, since it uses less digits than its factorization.

164364024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 164364024 is about 12820.4533461185. The cubic root of 164364024 is about 547.7750599706.

The spelling of 164364024 in words is "one hundred sixty-four million, three hundred sixty-four thousand, twenty-four".