84589648 has 60 divisors (see below), whose sum is σ = 194061364. Its totient is φ = 35481600.

The previous prime is 84589597. The next prime is 84589649. The reversal of 84589648 is 84698548.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 47720464 = 6072^2 + 6908^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 84589595 and 84589604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84589649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23488 + ... + 26848.

Almost surely, 2^84589648 is an apocalyptic number.

84589648 is a gapful number since it is divisible by the number (88) 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 84589648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97030682).

84589648 is an abundant number, since it is smaller than the sum of its proper divisors (109471716).

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

84589648 is a wasteful number, since it uses less digits than its factorization.

84589648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3387 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 52.

The square root of 84589648 is about 9197.2630711533. The cubic root of 84589648 is about 438.9742773727.

Subtracting 84589648 from its reverse (84698548), we obtain a square (108900 = 330²).

The spelling of 84589648 in words is "eighty-four million, five hundred eighty-nine thousand, six hundred forty-eight".