10485504 has 144 divisors (see below), whose sum is σ = 32622240. Its totient is φ = 3317760.

The previous prime is 10485499. The next prime is 10485523. The reversal of 10485504 is 40558401.

10485504 is a `hidden beast` number, since 104 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255724 + ... + 255764.

Almost surely, 2^10485504 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 10485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311120).

10485504 is an abundant number, since it is smaller than the sum of its proper divisors (22136736).

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

10485504 is an equidigital number, since it uses as much as digits as its factorization.

10485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10485504 is about 3238.1327953004. The cubic root of 10485504 is about 218.8751399352.

The spelling of 10485504 in words is "ten million, four hundred eighty-five thousand, five hundred four".