84112000 has 128 divisors (see below), whose sum is σ = 239316480. Its totient is φ = 28800000.

The previous prime is 84111997. The next prime is 84112003. The reversal of 84112000 is 21148.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84111997) and next prime (84112003).

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 (16).

It is not an unprimeable number, because it can be changed into a prime (84112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111625 + ... + 112375.

It is an arithmetic number, because the mean of its divisors is an integer number (1869660).

Almost surely, 2^84112000 is an apocalyptic number.

84112000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119658240).

84112000 is an abundant number, since it is smaller than the sum of its proper divisors (155204480).

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

84112000 is an equidigital number, since it uses as much as digits as its factorization.

84112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 84112000 is about 9171.2594554946. The cubic root of 84112000 is about 438.1464728389.

Adding to 84112000 its reverse (21148), we get a palindrome (84133148).

The spelling of 84112000 in words is "eighty-four million, one hundred twelve thousand".