84528306 has 64 divisors (see below), whose sum is σ = 195431040. Its totient is φ = 27060480.

The previous prime is 84528287. The next prime is 84528307. The reversal of 84528306 is 60382548.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84528307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161361 + ... + 161883.

It is an arithmetic number, because the mean of its divisors is an integer number (3053610).

Almost surely, 2^84528306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84528306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97715520).

84528306 is an abundant number, since it is smaller than the sum of its proper divisors (110902734).

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

84528306 is a wasteful number, since it uses less digits than its factorization.

84528306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84528306 is about 9193.9276699352. The cubic root of 84528306 is about 438.8681411712.

The spelling of 84528306 in words is "eighty-four million, five hundred twenty-eight thousand, three hundred six".