84560112 has 240 divisors, whose sum is σ = 303313920. Its totient is φ = 22208256.

The previous prime is 84560101. The next prime is 84560131. The reversal of 84560112 is 21106548.

84560112 is a `hidden beast` number, since 8 + 45 + 601 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353689 + ... + 353927.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^84560112 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 84560112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

84560112 is an abundant number, since it is smaller than the sum of its proper divisors (218753808).

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

84560112 is a wasteful number, since it uses less digits than its factorization.

84560112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

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

The square root of 84560112 is about 9195.6572358913. The cubic root of 84560112 is about 438.9231794984.

The spelling of 84560112 in words is "eighty-four million, five hundred sixty thousand, one hundred twelve".