164341980 has 192 divisors, whose sum is σ = 566899200. Its totient is φ = 39191040.

The previous prime is 164341973. The next prime is 164341987. The reversal of 164341980 is 89143461.

164341980 is a `hidden beast` number, since 1 + 643 + 4 + 1 + 9 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164341973) and next prime (164341987).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164341987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433431 + ... + 433809.

It is an arithmetic number, because the mean of its divisors is an integer number (2952600).

Almost surely, 2^164341980 is an apocalyptic number.

164341980 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 164341980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283449600).

164341980 is an abundant number, since it is smaller than the sum of its proper divisors (402557220).

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

164341980 is a wasteful number, since it uses less digits than its factorization.

164341980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164341980 is about 12819.5935973025. The cubic root of 164341980 is about 547.7505702374.

The spelling of 164341980 in words is "one hundred sixty-four million, three hundred forty-one thousand, nine hundred eighty".