84760 has 32 divisors (see below), whose sum is σ = 206640. Its totient is φ = 31104.

The previous prime is 84751. The next prime is 84761. The reversal of 84760 is 6748.

84760 = T₁₅ + T₁₆ + ... + T₇₉.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84761) by changing a digit.

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, 439 + ... + 601.

2⁸⁴⁷⁶⁰ 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 84760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103320).

84760 is an abundant number, since it is smaller than the sum of its proper divisors (121880).

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

84760 is a wasteful number, since it uses less digits than its factorization.

84760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 84760 is about 291.1357071882. The cubic root of 84760 is about 43.9268757864.

The spelling of 84760 in words is "eighty-four thousand, seven hundred sixty".