171166064 has 40 divisors (see below), whose sum is σ = 352745280. Its totient is φ = 80181248.

The previous prime is 171166063. The next prime is 171166067. The reversal of 171166064 is 460661171.

171166064 = 267² + 268² + ... + 810².

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 171166064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171166063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63692 + ... + 66324.

It is an arithmetic number, because the mean of its divisors is an integer number (8818632).

Almost surely, 2^171166064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171166064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176372640).

171166064 is an abundant number, since it is smaller than the sum of its proper divisors (181579216).

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

171166064 is a wasteful number, since it uses less digits than its factorization.

171166064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 171166064 is about 13083.0449055256. The cubic root of 171166064 is about 555.2295281989.

The spelling of 171166064 in words is "one hundred seventy-one million, one hundred sixty-six thousand, sixty-four".