171161600 has 72 divisors (see below), whose sum is σ = 424504080. Its totient is φ = 68444160.

The previous prime is 171161591. The next prime is 171161609. The reversal of 171161600 is 6161171.

It is an interprime number because it is at equal distance from previous prime (171161591) and next prime (171161609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171161609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49529 + ... + 52871.

It is an arithmetic number, because the mean of its divisors is an integer number (5895890).

Almost surely, 2^171161600 is an apocalyptic number.

171161600 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 171161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

171161600 is an abundant number, since it is smaller than the sum of its proper divisors (253342480).

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

171161600 is an equidigital number, since it uses as much as digits as its factorization.

171161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 171161600 is about 13082.8743019262. The cubic root of 171161600 is about 555.2247013734.

The spelling of 171161600 in words is "one hundred seventy-one million, one hundred sixty-one thousand, six hundred".