84510920 has 64 divisors (see below), whose sum is σ = 205813440. Its totient is φ = 31046400.

The previous prime is 84510913. The next prime is 84510931. The reversal of 84510920 is 2901548.

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, 171875 + ... + 172365.

It is an arithmetic number, because the mean of its divisors is an integer number (3215835).

Almost surely, 2^84510920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84510920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102906720).

84510920 is an abundant number, since it is smaller than the sum of its proper divisors (121302520).

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

84510920 is a wasteful number, since it uses less digits than its factorization.

84510920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 84510920 is about 9192.9821059328. The cubic root of 84510920 is about 438.8380499309.

The spelling of 84510920 in words is "eighty-four million, five hundred ten thousand, nine hundred twenty".