903968 has 48 divisors (see below), whose sum is σ = 2000376. Its totient is φ = 399360.

The previous prime is 903967. The next prime is 903979. The reversal of 903968 is 869309.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 425104 = 692^2 + 652^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (903967) 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, 17030 + ... + 17082.

2⁹⁰³⁹⁶⁸ 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 903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000188).

903968 is an abundant number, since it is smaller than the sum of its proper divisors (1096408).

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

903968 is a wasteful number, since it uses less digits than its factorization.

903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 903968 is about 950.7723176450. The cubic root of 903968 is about 96.6906216230.

The spelling of 903968 in words is "nine hundred three thousand, nine hundred sixty-eight".