10485904 has 40 divisors (see below), whose sum is σ = 23873472. Its totient is φ = 4398720.

The previous prime is 10485901. The next prime is 10485913. The reversal of 10485904 is 40958401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10485901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 4579.

Almost surely, 2^10485904 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 10485904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936736).

10485904 is an abundant number, since it is smaller than the sum of its proper divisors (13387568).

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

10485904 is a wasteful number, since it uses less digits than its factorization.

10485904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10485904 is about 3238.1945587009. The cubic root of 10485904 is about 218.8779231091.

The spelling of 10485904 in words is "ten million, four hundred eighty-five thousand, nine hundred four".