164085300 has 108 divisors (see below), whose sum is σ = 516795916. Its totient is φ = 43545600.

The previous prime is 164085293. The next prime is 164085301. The reversal of 164085300 is 3580461.

It can be written as a sum of positive squares in 6 ways, for example, as 15586704 + 148498596 = 3948^2 + 12186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164085301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303030 + ... + 303570.

Almost surely, 2^164085300 is an apocalyptic number.

164085300 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 164085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258397958).

164085300 is an abundant number, since it is smaller than the sum of its proper divisors (352710616).

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

164085300 is a wasteful number, since it uses less digits than its factorization.

164085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164085300 is about 12809.5784473963. The cubic root of 164085300 is about 547.4652508126.

The spelling of 164085300 in words is "one hundred sixty-four million, eighty-five thousand, three hundred".