84411712 has 84 divisors (see below), whose sum is σ = 212652864. Its totient is φ = 32874240.

The previous prime is 84411707. The next prime is 84411731. The reversal of 84411712 is 21711448.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33273 + ... + 35719.

Almost surely, 2^84411712 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 84411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326432).

84411712 is an abundant number, since it is smaller than the sum of its proper divisors (128241152).

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

84411712 is a wasteful number, since it uses less digits than its factorization.

84411712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2467 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 84411712 is about 9187.5846662766. The cubic root of 84411712 is about 438.6662642721. Note that the first 3 decimals are identical.

It can be divided in two parts, 8441 and 1712, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 84411712 in words is "eighty-four million, four hundred eleven thousand, seven hundred twelve".