956441760 has 384 divisors, whose sum is σ = 3483648000. Its totient is φ = 218972160.

The previous prime is 956441719. The next prime is 956441767. The reversal of 956441760 is 67144659.

956441760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (956441767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4806141 + ... + 4806339.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^956441760 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 956441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

956441760 is an abundant number, since it is smaller than the sum of its proper divisors (2527206240).

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

956441760 is a wasteful number, since it uses less digits than its factorization.

956441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 956441760 is about 30926.3926121363. The cubic root of 956441760 is about 985.2645187867.

The spelling of 956441760 in words is "nine hundred fifty-six million, four hundred forty-one thousand, seven hundred sixty".