84825936 has 120 divisors (see below), whose sum is σ = 258561576. Its totient is φ = 25804800.

The previous prime is 84825931. The next prime is 84825947. The reversal of 84825936 is 63952848.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 81000000 = 1956^2 + 9000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84825891 and 84825900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84825931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211336 + ... + 211736.

Almost surely, 2^84825936 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 84825936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129280788).

84825936 is an abundant number, since it is smaller than the sum of its proper divisors (173735640).

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

84825936 is a wasteful number, since it uses less digits than its factorization.

84825936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84825936 is about 9210.0996737277. The cubic root of 84825936 is about 439.3826327953.

The spelling of 84825936 in words is "eighty-four million, eight hundred twenty-five thousand, nine hundred thirty-six".