168684480 has 168 divisors, whose sum is σ = 596261952. Its totient is φ = 43739136.

The previous prime is 168684463. The next prime is 168684487. The reversal of 168684480 is 84486861.

168684480 is a `hidden beast` number, since 16 + 86 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168684487) 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 23 ways as a sum of consecutive naturals, for example, 105769 + ... + 107351.

Almost surely, 2^168684480 is an apocalyptic number.

168684480 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 168684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298130976).

168684480 is an abundant number, since it is smaller than the sum of its proper divisors (427577472).

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

168684480 is a wasteful number, since it uses less digits than its factorization.

168684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 168684480 is about 12987.8589459541. The cubic root of 168684480 is about 552.5331962064.

The spelling of 168684480 in words is "one hundred sixty-eight million, six hundred eighty-four thousand, four hundred eighty".