84480 has 80 divisors (see below), whose sum is σ = 294624. Its totient is φ = 20480.

The previous prime is 84467. The next prime is 84481. The reversal of 84480 is 8448.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7675 + ... + 7685.

2⁸⁴⁴⁸⁰ is an apocalyptic number.

84480 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 84480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

84480 is an abundant number, since it is smaller than the sum of its proper divisors (210144).

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

84480 is a wasteful number, since it uses less digits than its factorization.

84480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84480 is about 290.6544339934. The cubic root of 84480 is about 43.8784524195.

The spelling of 84480 in words is "eighty-four thousand, four hundred eighty".