84074112 has 224 divisors, whose sum is σ = 270910980. Its totient is φ = 25878528.

The previous prime is 84074057. The next prime is 84074113. The reversal of 84074112 is 21147048.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 5645376 = 8856^2 + 2376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (84074113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1586278 + ... + 1586330.

Almost surely, 2^84074112 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 84074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135455490).

84074112 is an abundant number, since it is smaller than the sum of its proper divisors (186836868).

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

84074112 is an equidigital number, since it uses as much as digits as its factorization.

84074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84074112 is about 9169.1936395738. The cubic root of 84074112 is about 438.0806757004.

The spelling of 84074112 in words is "eighty-four million, seventy-four thousand, one hundred twelve".