164254024 has 32 divisors (see below), whose sum is σ = 338256000. Its totient is φ = 74153920.

The previous prime is 164254021. The next prime is 164254033. The reversal of 164254024 is 420452461.

It is a junction number, because it is equal to n+sod(n) for n = 164253983 and 164254001.

It is not an unprimeable number, because it can be changed into a prime (164254021) by changing a digit.

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, 6849 + ... + 19375.

It is an arithmetic number, because the mean of its divisors is an integer number (10570500).

Almost surely, 2^164254024 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 164254024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169128000).

164254024 is an abundant number, since it is smaller than the sum of its proper divisors (174001976).

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

164254024 is a wasteful number, since it uses less digits than its factorization.

164254024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 164254024 is about 12816.1626082069. The cubic root of 164254024 is about 547.6528339060.

It can be divided in two parts, 16425 and 4024, that added together give a square (20449 = 143²).

The spelling of 164254024 in words is "one hundred sixty-four million, two hundred fifty-four thousand, twenty-four".