903648 has 24 divisors (see below), whose sum is σ = 2372328. Its totient is φ = 301184.

The previous prime is 903641. The next prime is 903649. The reversal of 903648 is 846309.

903648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4611 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (98847).

2⁹⁰³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

903648 is an abundant number, since it is smaller than the sum of its proper divisors (1468680).

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

903648 is a wasteful number, since it uses less digits than its factorization.

903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 903648 is about 950.6040185061. The cubic root of 903648 is about 96.6792109497.

It can be divided in two parts, 903 and 648, that added together give a palindrome (1551).

The spelling of 903648 in words is "nine hundred three thousand, six hundred forty-eight".