171386540 has 48 divisors (see below), whose sum is σ = 388668000. Its totient is φ = 63106560.

The previous prime is 171386539. The next prime is 171386543. The reversal of 171386540 is 45683171.

171386540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 171386540.

It is not an unprimeable number, because it can be changed into a prime (171386543) 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, 129080 + ... + 130400.

It is an arithmetic number, because the mean of its divisors is an integer number (8097250).

Almost surely, 2^171386540 is an apocalyptic number.

171386540 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 171386540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194334000).

171386540 is an abundant number, since it is smaller than the sum of its proper divisors (217281460).

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

171386540 is a wasteful number, since it uses less digits than its factorization.

171386540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 171386540 is about 13091.4682140698. The cubic root of 171386540 is about 555.4678197155.

The spelling of 171386540 in words is "one hundred seventy-one million, three hundred eighty-six thousand, five hundred forty".