164064680 has 64 divisors (see below), whose sum is σ = 405110160. Its totient is φ = 59424768.

The previous prime is 164064673. The next prime is 164064701. The reversal of 164064680 is 86460461.

164064680 is digitally balanced in base 3, 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 8 ways, for example, as 13118884 + 150945796 = 3622^2 + 12286^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164064680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24584 + ... + 30536.

Almost surely, 2^164064680 is an apocalyptic number.

164064680 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 164064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202555080).

164064680 is an abundant number, since it is smaller than the sum of its proper divisors (241045480).

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

164064680 is a wasteful number, since it uses less digits than its factorization.

164064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 164064680 is about 12808.7735556532. The cubic root of 164064680 is about 547.4423171995.

The spelling of 164064680 in words is "one hundred sixty-four million, sixty-four thousand, six hundred eighty".