84506112 has 80 divisors (see below), whose sum is σ = 250184880. Its totient is φ = 28164096.

The previous prime is 84506111. The next prime is 84506119. The reversal of 84506112 is 21160548.

84506112 is a `hidden beast` number, since 8 + 45 + 0 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84506111) 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, 10768 + ... + 16880.

It is an arithmetic number, because the mean of its divisors is an integer number (3127311).

Almost surely, 2^84506112 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 84506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092440).

84506112 is an abundant number, since it is smaller than the sum of its proper divisors (165678768).

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

84506112 is an equidigital number, since it uses as much as digits as its factorization.

84506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 84506112 is about 9192.7205983865. The cubic root of 84506112 is about 438.8297276401.

The spelling of 84506112 in words is "eighty-four million, five hundred six thousand, one hundred twelve".