84960288 has 288 divisors, whose sum is σ = 304746624. Its totient is φ = 21897216.

The previous prime is 84960287. The next prime is 84960289. The reversal of 84960288 is 88206948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84960287) and next prime (84960289).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (84960287) 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, 1268031 + ... + 1268097.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 2^84960288 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 84960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

84960288 is an abundant number, since it is smaller than the sum of its proper divisors (219786336).

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

84960288 is a wasteful number, since it uses less digits than its factorization.

84960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 84960288 is about 9217.3905200984. The cubic root of 84960288 is about 439.6144832554.

The spelling of 84960288 in words is "eighty-four million, nine hundred sixty thousand, two hundred eighty-eight".