84608 has 16 divisors (see below), whose sum is σ = 168810. Its totient is φ = 42240.

The previous prime is 84589. The next prime is 84629. The reversal of 84608 is 80648.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 23104 = 248^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203 + ... + 458.

2⁸⁴⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

84608 is a deficient number, since it is larger than the sum of its proper divisors (84202).

84608 is an equidigital number, since it uses as much as digits as its factorization.

84608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84608 is about 290.8745434032. The cubic root of 84608 is about 43.9006020711.

It can be divided in two parts, 8 and 4608, that multiplied together give a square (36864 = 192²).

The spelling of 84608 in words is "eighty-four thousand, six hundred eight".