10085760 has 192 divisors, whose sum is σ = 37234080. Its totient is φ = 2506752.

The previous prime is 10085737. The next prime is 10085771. The reversal of 10085760 is 6758001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97869 + ... + 97971.

Almost surely, 2^10085760 is an apocalyptic number.

10085760 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 10085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

10085760 is an abundant number, since it is smaller than the sum of its proper divisors (27148320).

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

10085760 is a wasteful number, since it uses less digits than its factorization.

10085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10085760 is about 3175.8085584619. The cubic root of 10085760 is about 216.0575978085.

The spelling of 10085760 in words is "ten million, eighty-five thousand, seven hundred sixty".