96857856 has 144 divisors (see below), whose sum is σ = 291637920. Its totient is φ = 32099328.

The previous prime is 96857821. The next prime is 96857861. The reversal of 96857856 is 65875869.

96857856 is a `hidden beast` number, since 9 + 68 + 578 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (3628800) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559786 + ... + 559958.

Almost surely, 2^96857856 is an apocalyptic number.

96857856 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 96857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145818960).

96857856 is an abundant number, since it is smaller than the sum of its proper divisors (194780064).

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

96857856 is an frugal number, since it uses more digits than its factorization.

96857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

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

The square root of 96857856 is about 9841.6388879089. The cubic root of 96857856 is about 459.2455433629.

The spelling of 96857856 in words is "ninety-six million, eight hundred fifty-seven thousand, eight hundred fifty-six".