84560 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 28800.

The previous prime is 84559. The next prime is 84589. The reversal of 84560 is 6548.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 635.

2⁸⁴⁵⁶⁰ is an apocalyptic number.

84560 is a gapful number since it is divisible by the number (80) 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 84560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

84560 is an abundant number, since it is smaller than the sum of its proper divisors (141616).

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

84560 is a wasteful number, since it uses less digits than its factorization.

84560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 84560 is about 290.7920218988. The cubic root of 84560 is about 43.8922985713.

The spelling of 84560 in words is "eighty-four thousand, five hundred sixty".