164461220 has 96 divisors (see below), whose sum is σ = 433278720. Its totient is φ = 50941440.

The previous prime is 164461181. The next prime is 164461237. The reversal of 164461220 is 22164461.

It is a self number, because there is not a number n which added to its sum of digits gives 164461220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414062 + ... + 414458.

It is an arithmetic number, because the mean of its divisors is an integer number (4513320).

Almost surely, 2^164461220 is an apocalyptic number.

164461220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164461220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216639360).

164461220 is an abundant number, since it is smaller than the sum of its proper divisors (268817500).

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

164461220 is a wasteful number, since it uses less digits than its factorization.

164461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164461220 is about 12824.2434474709. The cubic root of 164461220 is about 547.8830135486.

The spelling of 164461220 in words is "one hundred sixty-four million, four hundred sixty-one thousand, two hundred twenty".