171360640 has 128 divisors (see below), whose sum is σ = 453198240. Its totient is φ = 61440000.

The previous prime is 171360619. The next prime is 171360643. The reversal of 171360640 is 46063171.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×171360640⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 171360599 and 171360608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171360643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710920 + ... + 711160.

Almost surely, 2^171360640 is an apocalyptic number.

171360640 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 171360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226599120).

171360640 is an abundant number, since it is smaller than the sum of its proper divisors (281837600).

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

171360640 is a wasteful number, since it uses less digits than its factorization.

171360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 171360640 is about 13090.4789828333. The cubic root of 171360640 is about 555.4398374688.

The spelling of 171360640 in words is "one hundred seventy-one million, three hundred sixty thousand, six hundred forty".