84938112 has 128 divisors (see below), whose sum is σ = 286579200. Its totient is φ = 24261120.

The previous prime is 84938083. The next prime is 84938131. The reversal of 84938112 is 21183948.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22437 + ... + 25947.

It is an arithmetic number, because the mean of its divisors is an integer number (2238900).

Almost surely, 2^84938112 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 84938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143289600).

84938112 is an abundant number, since it is smaller than the sum of its proper divisors (201641088).

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

84938112 is a wasteful number, since it uses less digits than its factorization.

84938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3523 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 84938112 is about 9216.1874980927. The cubic root of 84938112 is about 439.5762311130.

The spelling of 84938112 in words is "eighty-four million, nine hundred thirty-eight thousand, one hundred twelve".