10485960 has 32 divisors (see below), whose sum is σ = 31458240. Its totient is φ = 2796224.

The previous prime is 10485949. The next prime is 10485973. The reversal of 10485960 is 6958401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43572 + ... + 43811.

It is an arithmetic number, because the mean of its divisors is an integer number (983070).

Almost surely, 2^10485960 is an apocalyptic number.

10485960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10485960 is an abundant number, since it is smaller than the sum of its proper divisors (20972280).

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

10485960 is a wasteful number, since it uses less digits than its factorization.

10485960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87397 (or 87393 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10485960 is about 3238.2032054829. The cubic root of 10485960 is about 218.8783127478.

The spelling of 10485960 in words is "ten million, four hundred eighty-five thousand, nine hundred sixty".