171859968 has 280 divisors, whose sum is σ = 602632272. Its totient is φ = 47775744.

The previous prime is 171859967. The next prime is 171859969. The reversal of 171859968 is 869958171.

It is an interprime number because it is at equal distance from previous prime (171859967) and next prime (171859969).

It is a super-2 number, since 2×171859968² = 59071697201922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171859967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644846 + ... + 4644882.

Almost surely, 2^171859968 is an apocalyptic number.

171859968 is a gapful number since it is divisible by the number (18) 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 171859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301316136).

171859968 is an abundant number, since it is smaller than the sum of its proper divisors (430772304).

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

171859968 is an frugal number, since it uses more digits than its factorization.

171859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The square root of 171859968 is about 13109.5372916057. The cubic root of 171859968 is about 555.9788132637.

The spelling of 171859968 in words is "one hundred seventy-one million, eight hundred fifty-nine thousand, nine hundred sixty-eight".