164856580 has 72 divisors (see below), whose sum is σ = 405783000. Its totient is φ = 56093184.

The previous prime is 164856563. The next prime is 164856581. The reversal of 164856580 is 85658461.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 161594944 = 1806^2 + 12712^2 .

It is not an unprimeable number, because it can be changed into a prime (164856581) 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 23 ways as a sum of consecutive naturals, for example, 145456 + ... + 146584.

It is an arithmetic number, because the mean of its divisors is an integer number (5635875).

Almost surely, 2^164856580 is an apocalyptic number.

164856580 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 164856580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202891500).

164856580 is an abundant number, since it is smaller than the sum of its proper divisors (240926420).

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

164856580 is a wasteful number, since it uses less digits than its factorization.

164856580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 164856580 is about 12839.6487490897. The cubic root of 164856580 is about 548.3216938327.

The spelling of 164856580 in words is "one hundred sixty-four million, eight hundred fifty-six thousand, five hundred eighty".