84338112 has 112 divisors (see below), whose sum is σ = 239369600. Its totient is φ = 26127360.

The previous prime is 84338099. The next prime is 84338117. The reversal of 84338112 is 21183348.

It is a super-2 number, since 2×84338112² = 14225834271449088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84338112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84338117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222339 + ... + 222717.

Almost surely, 2^84338112 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 84338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119684800).

84338112 is an abundant number, since it is smaller than the sum of its proper divisors (155031488).

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

84338112 is a wasteful number, since it uses less digits than its factorization.

84338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 84338112 is about 9183.5783875350. The cubic root of 84338112 is about 438.5387336867.

The spelling of 84338112 in words is "eighty-four million, three hundred thirty-eight thousand, one hundred twelve".