10485888 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2896896.

The previous prime is 10485887. The next prime is 10485899. The reversal of 10485888 is 88858401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10485887) 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 15 ways as a sum of consecutive naturals, for example, 126295 + ... + 126377.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^10485888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10485888 is an abundant number, since it is smaller than the sum of its proper divisors (22415232).

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

10485888 is an equidigital number, since it uses as much as digits as its factorization.

10485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 10485888 is about 3238.1920881875. The cubic root of 10485888 is about 218.8778117835.

The spelling of 10485888 in words is "ten million, four hundred eighty-five thousand, eight hundred eighty-eight".