10485768 has 32 divisors (see below), whose sum is σ = 26609760. Its totient is φ = 3442560.

The previous prime is 10485767. The next prime is 10485773. The reversal of 10485768 is 86758401.

It is not an unprimeable number, because it can be changed into a prime (10485767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (831555).

Almost surely, 2^10485768 is an apocalyptic number.

It is an amenable number.

10485768 is an abundant number, since it is smaller than the sum of its proper divisors (16123992).

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

10485768 is a wasteful number, since it uses less digits than its factorization.

10485768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 10485768 is about 3238.1735592769. The cubic root of 10485768 is about 218.8769768379.

It can be divided in two parts, 1048576 and 8, that multiplied together give a 23-rd power (8388608 = 2²³).

The spelling of 10485768 in words is "ten million, four hundred eighty-five thousand, seven hundred sixty-eight".