10523648 has 44 divisors (see below), whose sum is σ = 21616320. Its totient is φ = 5117952.

The previous prime is 10523641. The next prime is 10523657. The reversal of 10523648 is 84632501.

It is a super-2 number, since 2×10523648² = 221494334455808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10523648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43913 + ... + 44151.

It is an arithmetic number, because the mean of its divisors is an integer number (491280).

Almost surely, 2^10523648 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 10523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808160).

10523648 is an abundant number, since it is smaller than the sum of its proper divisors (11092672).

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

10523648 is an equidigital number, since it uses as much as digits as its factorization.

10523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 10523648 is about 3244.0172625928. The cubic root of 10523648 is about 219.1402255896.

The spelling of 10523648 in words is "ten million, five hundred twenty-three thousand, six hundred forty-eight".