84019712 has 120 divisors (see below), whose sum is σ = 207820404. Its totient is φ = 33718272.

The previous prime is 84019709. The next prime is 84019723. The reversal of 84019712 is 21791048.

It can be written as a sum of positive squares in 2 ways, for example, as 66846976 + 17172736 = 8176^2 + 4144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426398 + ... + 426594.

Almost surely, 2^84019712 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 84019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103910202).

84019712 is an abundant number, since it is smaller than the sum of its proper divisors (123800692).

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

84019712 is a wasteful number, since it uses less digits than its factorization.

84019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 84019712 is about 9166.2267045933. The cubic root of 84019712 is about 437.9861688814.

The spelling of 84019712 in words is "eighty-four million, nineteen thousand, seven hundred twelve".