84288384 has 128 divisors (see below), whose sum is σ = 257652000. Its totient is φ = 27127296.

The previous prime is 84288383. The next prime is 84288401. The reversal of 84288384 is 48388248.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (128).

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 (84288383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906482 + ... + 2906510.

Almost surely, 2^84288384 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 84288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128826000).

84288384 is an abundant number, since it is smaller than the sum of its proper divisors (173363616).

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

84288384 is an frugal number, since it uses more digits than its factorization.

84288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 34 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 84288384 is about 9180.8705469580. The cubic root of 84288384 is about 438.4525253634.

The spelling of 84288384 in words is "eighty-four million, two hundred eighty-eight thousand, three hundred eighty-four".