10268085 has 32 divisors (see below), whose sum is σ = 17684352. Its totient is φ = 5068800.

The previous prime is 10268047. The next prime is 10268087. The reversal of 10268085 is 58086201.

10268085 = 358² + 359² + ... + 424².

It is not a de Polignac number, because 10268085 - 2¹⁵ = 10235317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16785 + ... + 17385.

It is an arithmetic number, because the mean of its divisors is an integer number (552636).

Almost surely, 2^10268085 is an apocalyptic number.

10268085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10268085 is a deficient number, since it is larger than the sum of its proper divisors (7416267).

10268085 is a wasteful number, since it uses less digits than its factorization.

10268085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10268085 is about 3204.3852764610. The cubic root of 10268085 is about 217.3517552373.

The spelling of 10268085 in words is "ten million, two hundred sixty-eight thousand, eighty-five".