168465840 has 80 divisors (see below), whose sum is σ = 525094368. Its totient is φ = 44679168.

The previous prime is 168465833. The next prime is 168465859. The reversal of 168465840 is 48564861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168465792 and 168465801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44502 + ... + 48138.

Almost surely, 2^168465840 is an apocalyptic number.

168465840 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 168465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262547184).

168465840 is an abundant number, since it is smaller than the sum of its proper divisors (356628528).

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

168465840 is a wasteful number, since it uses less digits than its factorization.

168465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 168465840 is about 12979.4391250161. The cubic root of 168465840 is about 552.2943714496.

The spelling of 168465840 in words is "one hundred sixty-eight million, four hundred sixty-five thousand, eight hundred forty".