171345720 has 384 divisors, whose sum is σ = 683043840. Its totient is φ = 33546240.

The previous prime is 171345719. The next prime is 171345721. The reversal of 171345720 is 27543171.

171345720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171345719) and next prime (171345721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171345721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2413285 + ... + 2413355.

It is an arithmetic number, because the mean of its divisors is an integer number (1778760).

Almost surely, 2^171345720 is an apocalyptic number.

171345720 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 171345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341521920).

171345720 is an abundant number, since it is smaller than the sum of its proper divisors (511698120).

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

171345720 is a wasteful number, since it uses less digits than its factorization.

171345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 171345720 is about 13089.9090905934. The cubic root of 171345720 is about 555.4237166862.

Adding to 171345720 its reverse (27543171), we get a palindrome (198888891).

The spelling of 171345720 in words is "one hundred seventy-one million, three hundred forty-five thousand, seven hundred twenty".