164968980 has 144 divisors (see below), whose sum is σ = 524815872. Its totient is φ = 38649600.

The previous prime is 164968957. The next prime is 164968987. The reversal of 164968980 is 89869461.

It is a happy number.

164968980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164968980³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164968987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224694 + ... + 225426.

Almost surely, 2^164968980 is an apocalyptic number.

164968980 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 164968980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262407936).

164968980 is an abundant number, since it is smaller than the sum of its proper divisors (359846892).

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

164968980 is a wasteful number, since it uses less digits than its factorization.

164968980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 164968980 is about 12844.0250700472. The cubic root of 164968980 is about 548.4462816347.

The spelling of 164968980 in words is "one hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred eighty".