168640 has 56 divisors (see below), whose sum is σ = 438912. Its totient is φ = 61440.

The previous prime is 168631. The next prime is 168643. The reversal of 168640 is 46861.

It is not an unprimeable number, because it can be changed into a prime (168643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5425 + ... + 5455.

2¹⁶⁸⁶⁴⁰ is an apocalyptic number.

168640 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 168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

168640 is an abundant number, since it is smaller than the sum of its proper divisors (270272).

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

168640 is a wasteful number, since it uses less digits than its factorization.

168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 168640 is about 410.6580085667. The cubic root of 168640 is about 55.2484626559.

It can be divided in two parts, 168 and 640, that added together give a palindrome (808).

The spelling of 168640 in words is "one hundred sixty-eight thousand, six hundred forty".