84604032 has 72 divisors (see below), whose sum is σ = 244358595. Its totient is φ = 28097280.

The previous prime is 84604027. The next prime is 84604057. The reversal of 84604032 is 23040648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 42302016 = 6504^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6504.

It is a junction number, because it is equal to n+sod(n) for n = 84603987 and 84604005.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312057 + ... + 312327.

Almost surely, 2^84604032 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 84604032

84604032 is an abundant number, since it is smaller than the sum of its proper divisors (159754563).

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

84604032 is an equidigital number, since it uses as much as digits as its factorization.

84604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84604032 is about 9198.0450096746. The cubic root of 84604032 is about 438.9991576754. Note that the first 3 decimals are identical.

Multiplying 84604032 by its product of nonzero digits (4608), we get a square (389855379456 = 624384²).

The spelling of 84604032 in words is "eighty-four million, six hundred four thousand, thirty-two".