10065760 has 48 divisors (see below), whose sum is σ = 24249456. Its totient is φ = 3947008.

The previous prime is 10065749. The next prime is 10065779. The reversal of 10065760 is 6756001.

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 7887 + ... + 9073.

It is an arithmetic number, because the mean of its divisors is an integer number (505197).

Almost surely, 2^10065760 is an apocalyptic number.

10065760 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 10065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124728).

10065760 is an abundant number, since it is smaller than the sum of its proper divisors (14183696).

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

10065760 is a wasteful number, since it uses less digits than its factorization.

10065760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 10065760 is about 3172.6581914855. The cubic root of 10065760 is about 215.9146896760.

The spelling of 10065760 in words is "ten million, sixty-five thousand, seven hundred sixty".