960857856 has 216 divisors, whose sum is σ = 3306497040. Its totient is φ = 274434048.

The previous prime is 960857819. The next prime is 960857861. The reversal of 960857856 is 658758069.

960857856 is a `hidden beast` number, since 9 + 60 + 8 + 578 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 337270 + ... + 340106.

Almost surely, 2^960857856 is an apocalyptic number.

960857856 is a gapful number since it is divisible by the number (96) 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 960857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653248520).

960857856 is an abundant number, since it is smaller than the sum of its proper divisors (2345639184).

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

960857856 is a wasteful number, since it uses less digits than its factorization.

960857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 960857856 is about 30997.7072700547. The cubic root of 960857856 is about 986.7785831981.

The spelling of 960857856 in words is "nine hundred sixty million, eight hundred fifty-seven thousand, eight hundred fifty-six".