84234528 has 216 divisors, whose sum is σ = 286820352. Its totient is φ = 23369472.

The previous prime is 84234523. The next prime is 84234529. The reversal of 84234528 is 82543248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84234492 and 84234501.

It is not an unprimeable number, because it can be changed into a prime (84234523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 663201 + ... + 663327.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 2^84234528 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 84234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

84234528 is an abundant number, since it is smaller than the sum of its proper divisors (202585824).

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

84234528 is a wasteful number, since it uses less digits than its factorization.

84234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 84234528 is about 9177.9370231006. The cubic root of 84234528 is about 438.3591224962.

It can be divided in two parts, 8423452 and 8, that added together give a triangular number (8423460 = T₄₁₀₄).

The spelling of 84234528 in words is "eighty-four million, two hundred thirty-four thousand, five hundred twenty-eight".