171868320 has 144 divisors (see below), whose sum is σ = 631684872. Its totient is φ = 42301440.

The previous prime is 171868313. The next prime is 171868327. The reversal of 171868320 is 23868171.

It is an interprime number because it is at equal distance from previous prime (171868313) and next prime (171868327).

It can be written as a sum of positive squares in 4 ways, for example, as 119508624 + 52359696 = 10932^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (171868327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14130 + ... + 23310.

Almost surely, 2^171868320 is an apocalyptic number.

171868320 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 171868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315842436).

171868320 is an abundant number, since it is smaller than the sum of its proper divisors (459816552).

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

171868320 is a wasteful number, since it uses less digits than its factorization.

171868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 171868320 is about 13109.8558344476. The cubic root of 171868320 is about 555.9878195493.

The spelling of 171868320 in words is "one hundred seventy-one million, eight hundred sixty-eight thousand, three hundred twenty".