956827648 has 96 divisors (see below), whose sum is σ = 2258081280. Its totient is φ = 396656640.

The previous prime is 956827633. The next prime is 956827649. The reversal of 956827648 is 846728659.

It is not an unprimeable number, because it can be changed into a prime (956827649) 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, 443340 + ... + 445492.

It is an arithmetic number, because the mean of its divisors is an integer number (23521680).

Almost surely, 2^956827648 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 956827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129040640).

956827648 is an abundant number, since it is smaller than the sum of its proper divisors (1301253632).

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

956827648 is a wasteful number, since it uses less digits than its factorization.

956827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2193 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 956827648 is about 30932.6307966199. The cubic root of 956827648 is about 985.3970066006.

The spelling of 956827648 in words is "nine hundred fifty-six million, eight hundred twenty-seven thousand, six hundred forty-eight".