171349980 has 192 divisors, whose sum is σ = 537062400. Its totient is φ = 40642560.

The previous prime is 171349939. The next prime is 171350027. The reversal of 171349980 is 89943171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347224 + ... + 2347296.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 2^171349980 is an apocalyptic number.

171349980 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 171349980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

171349980 is an abundant number, since it is smaller than the sum of its proper divisors (365712420).

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

171349980 is a wasteful number, since it uses less digits than its factorization.

171349980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 171349980 is about 13090.0718103454. The cubic root of 171349980 is about 555.4283196324.

The spelling of 171349980 in words is "one hundred seventy-one million, three hundred forty-nine thousand, nine hundred eighty".