903257664 has 112 divisors (see below), whose sum is σ = 2552517120. Its totient is φ = 281272320.

The previous prime is 903257647. The next prime is 903257671. The reversal of 903257664 is 466752309.

903257664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 169992 + ... + 175224.

Almost surely, 2^903257664 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 903257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276258560).

903257664 is an abundant number, since it is smaller than the sum of its proper divisors (1649259456).

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

903257664 is a wasteful number, since it uses less digits than its factorization.

903257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 903257664 is about 30054.2453573534. The cubic root of 903257664 is about 966.6528856273.

The spelling of 903257664 in words is "nine hundred three million, two hundred fifty-seven thousand, six hundred sixty-four".