168484752 has 160 divisors (see below), whose sum is σ = 521871360. Its totient is φ = 51891840.

The previous prime is 168484747. The next prime is 168484753. The reversal of 168484752 is 257484861.

168484752 is a `hidden beast` number, since 168 + 484 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×168484752² = 56774223313003008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168484698 and 168484707.

It is not an unprimeable number, because it can be changed into a prime (168484753) 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 31 ways as a sum of consecutive naturals, for example, 307743 + ... + 308289.

It is an arithmetic number, because the mean of its divisors is an integer number (3261696).

Almost surely, 2^168484752 is an apocalyptic number.

168484752 is a gapful number since it is divisible by the number (12) 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 168484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260935680).

168484752 is an abundant number, since it is smaller than the sum of its proper divisors (353386608).

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

168484752 is a wasteful number, since it uses less digits than its factorization.

168484752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 168484752 is about 12980.1676414444. The cubic root of 168484752 is about 552.3150375588.

It can be divided in two parts, 1684 and 84752, that added together give a square (86436 = 294²).

The spelling of 168484752 in words is "one hundred sixty-eight million, four hundred eighty-four thousand, seven hundred fifty-two".