10485680 has 20 divisors (see below), whose sum is σ = 24379392. Its totient is φ = 4194240.

The previous prime is 10485667. The next prime is 10485697. The reversal of 10485680 is 8658401.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65456 + ... + 65615.

Almost surely, 2^10485680 is an apocalyptic number.

10485680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10485680 is an abundant number, since it is smaller than the sum of its proper divisors (13893712).

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

10485680 is a wasteful number, since it uses less digits than its factorization.

10485680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131084 (or 131078 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 10485680 is about 3238.1599713417. The cubic root of 10485680 is about 218.8763645404.

The spelling of 10485680 in words is "ten million, four hundred eighty-five thousand, six hundred eighty".