84029712 has 80 divisors (see below), whose sum is σ = 235068288. Its totient is φ = 25712640.

The previous prime is 84029689. The next prime is 84029713. The reversal of 84029712 is 21792048.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84029713) by changing a digit.

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, 193848 + ... + 194280.

Almost surely, 2^84029712 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 84029712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117534144).

84029712 is an abundant number, since it is smaller than the sum of its proper divisors (151038576).

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

84029712 is a wasteful number, since it uses less digits than its factorization.

84029712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 84029712 is about 9166.7721690898. The cubic root of 84029712 is about 438.0035445179.

The spelling of 84029712 in words is "eighty-four million, twenty-nine thousand, seven hundred twelve".