164980 has 24 divisors (see below), whose sum is σ = 354312. Its totient is φ = 64512.

The previous prime is 164963. The next prime is 164987. The reversal of 164980 is 89461.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 164836 = 12^2 + 406^2 .

It is an Ulam number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404 + ... + 1516.

It is an arithmetic number, because the mean of its divisors is an integer number (14763).

2¹⁶⁴⁹⁸⁰ is an apocalyptic number.

164980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164980 is an abundant number, since it is smaller than the sum of its proper divisors (189332).

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

164980 is a wasteful number, since it uses less digits than its factorization.

164980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164980 is about 406.1773011875. The cubic root of 164980 is about 54.8458493513.

The spelling of 164980 in words is "one hundred sixty-four thousand, nine hundred eighty".