84014112 has 192 divisors, whose sum is σ = 277724160. Its totient is φ = 21648384.

The previous prime is 84014111. The next prime is 84014129. The reversal of 84014112 is 21141048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (84014111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515343 + ... + 515505.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^84014112 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 84014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

84014112 is an abundant number, since it is smaller than the sum of its proper divisors (193710048).

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

84014112 is a wasteful number, since it uses less digits than its factorization.

84014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 84014112 is about 9165.9212302965. The cubic root of 84014112 is about 437.9764379227.

The spelling of 84014112 in words is "eighty-four million, fourteen thousand, one hundred twelve".