84867084960 has 192 divisors, whose sum is σ = 305643227904. Its totient is φ = 19390464000.

The previous prime is 84867084959. The next prime is 84867084983. The reversal of 84867084960 is 6948076848.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 84867084894 and 84867084903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16128730 + ... + 16133990.

It is an arithmetic number, because the mean of its divisors is an integer number (1591891812).

Almost surely, 2^84867084960 is an apocalyptic number.

84867084960 is a gapful number since it is divisible by the number (80) 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 84867084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152821613952).

84867084960 is an abundant number, since it is smaller than the sum of its proper divisors (220776142944).

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

84867084960 is a wasteful number, since it uses less digits than its factorization.

84867084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 84867084960 in words is "eighty-four billion, eight hundred sixty-seven million, eighty-four thousand, nine hundred sixty".