84085032 has 64 divisors (see below), whose sum is σ = 223675200. Its totient is φ = 26265600.

The previous prime is 84085031. The next prime is 84085037. The reversal of 84085032 is 23058048.

It is not an unprimeable number, because it can be changed into a prime (84085031) 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, 43282 + ... + 45182.

It is an arithmetic number, because the mean of its divisors is an integer number (3494925).

Almost surely, 2^84085032 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 84085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111837600).

84085032 is an abundant number, since it is smaller than the sum of its proper divisors (139590168).

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

84085032 is a wasteful number, since it uses less digits than its factorization.

84085032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 84085032 is about 9169.7890924492. The cubic root of 84085032 is about 438.0996416412.

The spelling of 84085032 in words is "eighty-four million, eighty-five thousand, thirty-two".