10084536 has 192 divisors, whose sum is σ = 36391680. Its totient is φ = 2442240.

The previous prime is 10084531. The next prime is 10084537. The reversal of 10084536 is 63548001.

10084536 is a modest number, since divided by 4536 gives 1008 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94195 + ... + 94301.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^10084536 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 10084536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195840).

10084536 is an abundant number, since it is smaller than the sum of its proper divisors (26307144).

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

10084536 is a wasteful number, since it uses less digits than its factorization.

10084536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10084536 is about 3175.6158457849. The cubic root of 10084536 is about 216.0488572609.

The spelling of 10084536 in words is "ten million, eighty-four thousand, five hundred thirty-six".