84720 has 40 divisors (see below), whose sum is σ = 263376. Its totient is φ = 22528.

The previous prime is 84719. The next prime is 84731. The reversal of 84720 is 2748.

It is a happy number.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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, 64 + ... + 416.

2⁸⁴⁷²⁰ is an apocalyptic number.

84720 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 84720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131688).

84720 is an abundant number, since it is smaller than the sum of its proper divisors (178656).

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

84720 is a wasteful number, since it uses less digits than its factorization.

84720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 84720 is about 291.0670025956. The cubic root of 84720 is about 43.9199646982.

The spelling of 84720 in words is "eighty-four thousand, seven hundred twenty".