984608 has 24 divisors (see below), whose sum is σ = 2007180. Its totient is φ = 474880.

The previous prime is 984593. The next prime is 984611. The reversal of 984608 is 806489.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 8464 = 988^2 + 92^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 984608.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 398 + ... + 1458.

2⁹⁸⁴⁶⁰⁸ 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 984608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003590).

984608 is an abundant number, since it is smaller than the sum of its proper divisors (1022572).

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

984608 is a wasteful number, since it uses less digits than its factorization.

984608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 984608 is about 992.2741556647. The cubic root of 984608 is about 99.4842782159.

It can be divided in two parts, 98 and 4608, that multiplied together give a square (451584 = 672²).

The spelling of 984608 in words is "nine hundred eighty-four thousand, six hundred eight".