171961344 has 132 divisors (see below), whose sum is σ = 508376544. Its totient is φ = 55959552.

The previous prime is 171961319. The next prime is 171961351. The reversal of 171961344 is 443169171.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171961299 and 171961308.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 432954 + ... + 433350.

Almost surely, 2^171961344 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 171961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254188272).

171961344 is an abundant number, since it is smaller than the sum of its proper divisors (336415200).

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

171961344 is a wasteful number, since it uses less digits than its factorization.

171961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 171961344 is about 13113.4032196070. The cubic root of 171961344 is about 556.0881112193.

The spelling of 171961344 in words is "one hundred seventy-one million, nine hundred sixty-one thousand, three hundred forty-four".