84005536 has 48 divisors (see below), whose sum is σ = 179746560. Its totient is φ = 38499840.

The previous prime is 84005533. The next prime is 84005563. The reversal of 84005536 is 63550048.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 84005498 and 84005507.

It is not an unprimeable number, because it can be changed into a prime (84005533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16620 + ... + 21076.

It is an arithmetic number, because the mean of its divisors is an integer number (3744720).

Almost surely, 2^84005536 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 84005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89873280).

84005536 is an abundant number, since it is smaller than the sum of its proper divisors (95741024).

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

84005536 is a wasteful number, since it uses less digits than its factorization.

84005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 84005536 is about 9165.4533984959. The cubic root of 84005536 is about 437.9615348163.

The spelling of 84005536 in words is "eighty-four million, five thousand, five hundred thirty-six".