84163968 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 23708160.

The previous prime is 84163967. The next prime is 84163979. The reversal of 84163968 is 86936148.

84163968 is a `hidden beast` number, since 8 + 4 + 1 + 639 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84163967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185373 + ... + 1185443.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^84163968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

84163968 is an abundant number, since it is smaller than the sum of its proper divisors (209596032).

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

84163968 is an equidigital number, since it uses as much as digits as its factorization.

84163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 84163968 is about 9174.0922166719. The cubic root of 84163968 is about 438.2366894872.

The spelling of 84163968 in words is "eighty-four million, one hundred sixty-three thousand, nine hundred sixty-eight".