957221760 has 256 divisors, whose sum is σ = 3387640320. Its totient is φ = 227942400.

The previous prime is 957221731. The next prime is 957221761. The reversal of 957221760 is 67122759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957221761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287949 + ... + 1288691.

It is an arithmetic number, because the mean of its divisors is an integer number (13232970).

Almost surely, 2^957221760 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 957221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693820160).

957221760 is an abundant number, since it is smaller than the sum of its proper divisors (2430418560).

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

957221760 is a wasteful number, since it uses less digits than its factorization.

957221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 957221760 is about 30939.0006302725. Note that the first 3 decimals coincide. The cubic root of 957221760 is about 985.5322812162.

Subtracting from 957221760 its sum of digits (39), we obtain a square (957221721 = 30939²).

The spelling of 957221760 in words is "nine hundred fifty-seven million, two hundred twenty-one thousand, seven hundred sixty".