957803648 has 64 divisors (see below), whose sum is σ = 1987286400. Its totient is φ = 459260928.

The previous prime is 957803603. The next prime is 957803687. The reversal of 957803648 is 846308759.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 957803596 and 957803605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604265 + ... + 605847.

It is an arithmetic number, because the mean of its divisors is an integer number (31051350).

Almost surely, 2^957803648 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 957803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993643200).

957803648 is an abundant number, since it is smaller than the sum of its proper divisors (1029482752).

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

957803648 is a wasteful number, since it uses less digits than its factorization.

With its successor (957803649) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1789).

957803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 957803648 is about 30948.4029959544. The cubic root of 957803648 is about 985.7319400165.

The spelling of 957803648 in words is "nine hundred fifty-seven million, eight hundred three thousand, six hundred forty-eight".