168440 has 16 divisors (see below), whose sum is σ = 379080. Its totient is φ = 67360.

The previous prime is 168433. The next prime is 168449. The reversal of 168440 is 44861.

168440 = 95² + 96² + ... + 110².

It is a happy number.

168440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2066 + ... + 2145.

2¹⁶⁸⁴⁴⁰ is an apocalyptic number.

168440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168440 is an abundant number, since it is smaller than the sum of its proper divisors (210640).

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

168440 is a wasteful number, since it uses less digits than its factorization.

168440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 168440 is about 410.4144246978. The cubic root of 168440 is about 55.2266132260.

It can be divided in two parts, 168 and 440, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 168440 in words is "one hundred sixty-eight thousand, four hundred forty".