84960 has 72 divisors (see below), whose sum is σ = 294840. Its totient is φ = 22272.

The previous prime is 84947. The next prime is 84961. The reversal of 84960 is 6948.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84961) by changing a digit.

84960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1411 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁸⁴⁹⁶⁰ is an apocalyptic number.

84960 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 84960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

84960 is an abundant number, since it is smaller than the sum of its proper divisors (209880).

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

84960 is a wasteful number, since it uses less digits than its factorization.

84960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84960 is about 291.4789872358. The cubic root of 84960 is about 43.9613986517.

It can be divided in two parts, 849 and 60, that added together give a palindrome (909).

The spelling of 84960 in words is "eighty-four thousand, nine hundred sixty".