84680 has 32 divisors (see below), whose sum is σ = 199800. Its totient is φ = 32256.

The previous prime is 84673. The next prime is 84691. The reversal of 84680 is 8648.

84680 = T₁₆₅ + T₁₆₆ + ... + T₁₇₀.

It is a Cunningham number, because it is equal to 291²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 70756 + 13924 = 266^2 + 118^2 .

It is a congruent number.

It is an unprimeable number.

84680 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1124 + ... + 1196.

2⁸⁴⁶⁸⁰ 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 84680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99900).

84680 is an abundant number, since it is smaller than the sum of its proper divisors (115120).

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

84680 is a wasteful number, since it uses less digits than its factorization.

84680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

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

The square root of 84680 is about 290.9982817819. The cubic root of 84680 is about 43.9130514343.

The spelling of 84680 in words is "eighty-four thousand, six hundred eighty".