523648 has 16 divisors (see below), whose sum is σ = 1043460. Its totient is φ = 261760.

The previous prime is 523639. The next prime is 523657. The reversal of 523648 is 846325.

It is an interprime number because it is at equal distance from previous prime (523639) and next prime (523657).

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5 + 2⁹ + 6⁷ + 3¹¹ + 4⁸ + 8³ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1918 + ... + 2173.

523648 is a Friedman number, since it can be written as (8^6-5*4^3)*2, using all its digits and the basic arithmetic operations.

2⁵²³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

523648 is a deficient number, since it is larger than the sum of its proper divisors (519812).

523648 is an equidigital number, since it uses as much as digits as its factorization.

523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4093 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 523648 is about 723.6352672445. The cubic root of 523648 is about 80.6021233896.

It can be divided in two parts, 5 and 23648, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 523648 in words is "five hundred twenty-three thousand, six hundred forty-eight".