10268585 has 16 divisors (see below), whose sum is σ = 12619776. Its totient is φ = 8019648.

The previous prime is 10268579. The next prime is 10268617. The reversal of 10268585 is 58586201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10268585 - 2¹² = 10264489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65327 + ... + 65483.

It is an arithmetic number, because the mean of its divisors is an integer number (788736).

Almost surely, 2^10268585 is an apocalyptic number.

It is an amenable number.

10268585 is a deficient number, since it is larger than the sum of its proper divisors (2351191).

10268585 is a wasteful number, since it uses less digits than its factorization.

10268585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 10268585 is about 3204.4632935954. The cubic root of 10268585 is about 217.3552831303.

It can be divided in two parts, 102 and 68585, that multiplied together give a triangular number (6995670 = T₃₇₄₀).

The spelling of 10268585 in words is "ten million, two hundred sixty-eight thousand, five hundred eighty-five".