164400980 has 48 divisors (see below), whose sum is σ = 356193936. Its totient is φ = 63697920.

The previous prime is 164400949. The next prime is 164400991. The reversal of 164400980 is 89004461.

164400980 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 8 ways, for example, as 22600516 + 141800464 = 4754^2 + 11908^2 .

It is a super-3 number, since 3×164400980³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 128102 + ... + 129378.

It is an arithmetic number, because the mean of its divisors is an integer number (7420707).

Almost surely, 2^164400980 is an apocalyptic number.

164400980 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 164400980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178096968).

164400980 is an abundant number, since it is smaller than the sum of its proper divisors (191792956).

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

164400980 is a wasteful number, since it uses less digits than its factorization.

164400980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 164400980 is about 12821.8945557979. The cubic root of 164400980 is about 547.8161112453.

The spelling of 164400980 in words is "one hundred sixty-four million, four hundred thousand, nine hundred eighty".