10485824 has 14 divisors (see below), whose sum is σ = 20807934. Its totient is φ = 5242880.

The previous prime is 10485817. The next prime is 10485869. The reversal of 10485824 is 42858401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10445824 + 40000 = 3232^2 + 200^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 81857 + ... + 81984.

It is an arithmetic number, because the mean of its divisors is an integer number (1486281).

Almost surely, 2^10485824 is an apocalyptic number.

It is an amenable number.

10485824 is a deficient number, since it is larger than the sum of its proper divisors (10322110).

10485824 is an equidigital number, since it uses as much as digits as its factorization.

10485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163853 (or 163843 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 10485824 is about 3238.1822061150. The cubic root of 10485824 is about 218.8773664799.

The spelling of 10485824 in words is "ten million, four hundred eighty-five thousand, eight hundred twenty-four".