10086736 has 40 divisors (see below), whose sum is σ = 21498624. Its totient is φ = 4546560.

The previous prime is 10086709. The next prime is 10086737. The reversal of 10086736 is 63768001.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10086698 and 10086707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086737) 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 7 ways as a sum of consecutive naturals, for example, 39120 + ... + 39376.

Almost surely, 2^10086736 is an apocalyptic number.

10086736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749312).

10086736 is an abundant number, since it is smaller than the sum of its proper divisors (11411888).

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

10086736 is a wasteful number, since it uses less digits than its factorization.

10086736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10086736 is about 3175.9622163999. The cubic root of 10086736 is about 216.0645668888.

It can be divided in two parts, 1008 and 6736, that added together give a square (7744 = 88²).

The spelling of 10086736 in words is "ten million, eighty-six thousand, seven hundred thirty-six".