10086320 has 20 divisors (see below), whose sum is σ = 23450880. Its totient is φ = 4034496.

The previous prime is 10086319. The next prime is 10086343. The reversal of 10086320 is 2368001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10086320² = 203467702284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10086292 and 10086301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62960 + ... + 63119.

It is an arithmetic number, because the mean of its divisors is an integer number (1172544).

Almost surely, 2^10086320 is an apocalyptic number.

10086320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086320 is an abundant number, since it is smaller than the sum of its proper divisors (13364560).

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

10086320 is a wasteful number, since it uses less digits than its factorization.

10086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126092 (or 126086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10086320 is about 3175.8967237617. The cubic root of 10086320 is about 216.0615965161.

The spelling of 10086320 in words is "ten million, eighty-six thousand, three hundred twenty".