10085460 has 192 divisors, whose sum is σ = 36771840. Its totient is φ = 2004480.

The previous prime is 10085429. The next prime is 10085473. The reversal of 10085460 is 6458001.

It is a self number, because there is not a number n which added to its sum of digits gives 10085460.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 170911 + ... + 170969.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^10085460 is an apocalyptic number.

10085460 is a gapful number since it is divisible by the number (10) 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 10085460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

10085460 is an abundant number, since it is smaller than the sum of its proper divisors (26686380).

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

10085460 is a wasteful number, since it uses less digits than its factorization.

10085460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10085460 is about 3175.7613260445. The cubic root of 10085460 is about 216.0554555829.

The spelling of 10085460 in words is "ten million, eighty-five thousand, four hundred sixty".