164224260 has 72 divisors (see below), whose sum is σ = 516612096. Its totient is φ = 43791840.

The previous prime is 164224253. The next prime is 164224271. The reversal of 164224260 is 62422461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12036 + ... + 21755.

It is an arithmetic number, because the mean of its divisors is an integer number (7175168).

Almost surely, 2^164224260 is an apocalyptic number.

164224260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164224260 is an abundant number, since it is smaller than the sum of its proper divisors (352387836).

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

164224260 is a wasteful number, since it uses less digits than its factorization.

164224260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33815 (or 33801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164224260 is about 12815.0013655871. The cubic root of 164224260 is about 547.6197523752.

The spelling of 164224260 in words is "one hundred sixty-four million, two hundred twenty-four thousand, two hundred sixty".