84718320 has 80 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 22373632.

The previous prime is 84718307. The next prime is 84718331. The reversal of 84718320 is 2381748.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24031 + ... + 27329.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^84718320 is an apocalyptic number.

84718320 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 84718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

84718320 is an abundant number, since it is smaller than the sum of its proper divisors (180443280).

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

84718320 is a wasteful number, since it uses less digits than its factorization.

84718320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84718320 is about 9204.2555375218. The cubic root of 84718320 is about 439.1967438486.

The spelling of 84718320 in words is "eighty-four million, seven hundred eighteen thousand, three hundred twenty".