171060120 has 512 divisors, whose sum is σ = 758937600. Its totient is φ = 33454080.

The previous prime is 171060107. The next prime is 171060121. The reversal of 171060120 is 21060171.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 171060093 and 171060102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171060121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10062352 + ... + 10062368.

It is an arithmetic number, because the mean of its divisors is an integer number (1482300).

Almost surely, 2^171060120 is an apocalyptic number.

171060120 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 171060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379468800).

171060120 is an abundant number, since it is smaller than the sum of its proper divisors (587877480).

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

171060120 is a wasteful number, since it uses less digits than its factorization.

171060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 171060120 is about 13078.9953742633. The cubic root of 171060120 is about 555.1149506239.

The spelling of 171060120 in words is "one hundred seventy-one million, sixty thousand, one hundred twenty".