171120416 has 48 divisors (see below), whose sum is σ = 352288440. Its totient is φ = 81715200.

The previous prime is 171120413. The next prime is 171120427. The reversal of 171120416 is 614021171.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108076816 + 63043600 = 10396^2 + 7940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 171120391 and 171120400.

It is not an unprimeable number, because it can be changed into a prime (171120413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89066 + ... + 90966.

Almost surely, 2^171120416 is an apocalyptic number.

171120416 is a gapful number since it is divisible by the number (16) 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 171120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176144220).

171120416 is an abundant number, since it is smaller than the sum of its proper divisors (181168024).

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

171120416 is a wasteful number, since it uses less digits than its factorization.

171120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 171120416 is about 13081.3002411840. The cubic root of 171120416 is about 555.1801660564.

Adding to 171120416 its reverse (614021171), we get a palindrome (785141587).

The spelling of 171120416 in words is "one hundred seventy-one million, one hundred twenty thousand, four hundred sixteen".