84500936 has 48 divisors (see below), whose sum is σ = 174168540. Its totient is φ = 38206080.

The previous prime is 84500917. The next prime is 84500951. The reversal of 84500936 is 63900548.

It can be written as a sum of positive squares in 2 ways, for example, as 62504836 + 21996100 = 7906^2 + 4690^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84500896 and 84500905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466766 + ... + 466946.

Almost surely, 2^84500936 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 84500936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87084270).

84500936 is an abundant number, since it is smaller than the sum of its proper divisors (89667604).

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

84500936 is a wasteful number, since it uses less digits than its factorization.

84500936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 84500936 is about 9192.4390669724. The cubic root of 84500936 is about 438.8207680158.

The spelling of 84500936 in words is "eighty-four million, five hundred thousand, nine hundred thirty-six".