171253980 has 96 divisors (see below), whose sum is σ = 538137600. Its totient is φ = 45209664.

The previous prime is 171253967. The next prime is 171253981. The reversal of 171253980 is 89352171.

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 (171253981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54081 + ... + 57159.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2^171253980 is an apocalyptic number.

171253980 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 171253980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269068800).

171253980 is an abundant number, since it is smaller than the sum of its proper divisors (366883620).

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

171253980 is a wasteful number, since it uses less digits than its factorization.

171253980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 171253980 is about 13086.4043954021. The cubic root of 171253980 is about 555.3245727482.

The spelling of 171253980 in words is "one hundred seventy-one million, two hundred fifty-three thousand, nine hundred eighty".