84945168 has 240 divisors, whose sum is σ = 304551936. Its totient is φ = 21461760.

The previous prime is 84945163. The next prime is 84945193. The reversal of 84945168 is 86154948.

It is not an unprimeable number, because it can be changed into a prime (84945163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521055 + ... + 521217.

Almost surely, 2^84945168 is an apocalyptic number.

84945168 is a gapful number since it is divisible by the number (88) 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 84945168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152275968).

84945168 is an abundant number, since it is smaller than the sum of its proper divisors (219606768).

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

84945168 is a wasteful number, since it uses less digits than its factorization.

84945168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 84945168 is about 9216.5702948548. The cubic root of 84945168 is about 439.5884029713.

The spelling of 84945168 in words is "eighty-four million, nine hundred forty-five thousand, one hundred sixty-eight".