84933648 has 120 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 26065152.

The previous prime is 84933647. The next prime is 84933661. The reversal of 84933648 is 84633948.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (84933647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100813 + ... + 101651.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^84933648 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 84933648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

84933648 is an abundant number, since it is smaller than the sum of its proper divisors (172341552).

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

84933648 is a wasteful number, since it uses less digits than its factorization.

84933648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 84933648 is about 9215.9453123377. The cubic root of 84933648 is about 439.5685302014.

The spelling of 84933648 in words is "eighty-four million, nine hundred thirty-three thousand, six hundred forty-eight".