164166820 has 24 divisors (see below), whose sum is σ = 346006584. Its totient is φ = 65427456.

The previous prime is 164166803. The next prime is 164166833. The reversal of 164166820 is 28661461.

164166820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37063744 + 127103076 = 6088^2 + 11274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9277 + ... + 20356.

It is an arithmetic number, because the mean of its divisors is an integer number (14416941).

Almost surely, 2^164166820 is an apocalyptic number.

164166820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164166820 is an abundant number, since it is smaller than the sum of its proper divisors (181839764).

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

164166820 is a wasteful number, since it uses less digits than its factorization.

164166820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29919 (or 29917 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 164166820 is about 12812.7600461415. The cubic root of 164166820 is about 547.5558987428. Note that the first 3 decimals are identical.

The spelling of 164166820 in words is "one hundred sixty-four million, one hundred sixty-six thousand, eight hundred twenty".