96587856 has 80 divisors (see below), whose sum is σ = 289326720. Its totient is φ = 30792960.

The previous prime is 96587851. The next prime is 96587861. The reversal of 96587856 is 65878569.

96587856 is a `hidden beast` number, since 9 + 6 + 587 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (96587851) and next prime (96587861).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96587851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5076 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (3616584).

Almost surely, 2^96587856 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 96587856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144663360).

96587856 is an abundant number, since it is smaller than the sum of its proper divisors (192738864).

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

96587856 is a wasteful number, since it uses less digits than its factorization.

96587856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9749 counting only the distinct ones).

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

The square root of 96587856 is about 9827.9120875189. The cubic root of 96587856 is about 458.8184167895.

The spelling of 96587856 in words is "ninety-six million, five hundred eighty-seven thousand, eight hundred fifty-six".