955056960 has 448 divisors, whose sum is σ = 3963375360. Its totient is φ = 213442560.

The previous prime is 955056937. The next prime is 955057007. The reversal of 955056960 is 69650559.

955056960 is a `hidden beast` number, since 9 + 550 + 5 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235134 + ... + 1235906.

It is an arithmetic number, because the mean of its divisors is an integer number (8846820).

Almost surely, 2^955056960 is an apocalyptic number.

955056960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981687680).

955056960 is an abundant number, since it is smaller than the sum of its proper divisors (3008318400).

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

955056960 is a wasteful number, since it uses less digits than its factorization.

955056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 955056960 is about 30903.9958581411. The cubic root of 955056960 is about 984.7887786076.

The spelling of 955056960 in words is "nine hundred fifty-five million, fifty-six thousand, nine hundred sixty".