10086816 has 24 divisors (see below), whose sum is σ = 26478144. Its totient is φ = 3362240.

The previous prime is 10086793. The next prime is 10086827. The reversal of 10086816 is 61868001.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52440 + ... + 52631.

It is an arithmetic number, because the mean of its divisors is an integer number (1103256).

Almost surely, 2^10086816 is an apocalyptic number.

10086816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10086816 is an abundant number, since it is smaller than the sum of its proper divisors (16391328).

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

10086816 is a wasteful number, since it uses less digits than its factorization.

10086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105084 (or 105076 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10086816 is about 3175.9748109832. The cubic root of 10086816 is about 216.0651381050.

Subtracting from 10086816 its sum of digits (30), we obtain a triangular number (10086786 = T₄₄₉₁).

The spelling of 10086816 in words is "ten million, eighty-six thousand, eight hundred sixteen".