86896656 has 240 divisors, whose sum is σ = 321729408. Its totient is φ = 21196800.

The previous prime is 86896643. The next prime is 86896681. The reversal of 86896656 is 65669868.

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 47 ways as a sum of consecutive naturals, for example, 188266 + ... + 188726.

Almost surely, 2^86896656 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 86896656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

86896656 is an abundant number, since it is smaller than the sum of its proper divisors (234832752).

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

86896656 is a wasteful number, since it uses less digits than its factorization.

86896656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 86896656 is about 9321.8375870855. The cubic root of 86896656 is about 442.9292435405.

The spelling of 86896656 in words is "eighty-six million, eight hundred ninety-six thousand, six hundred fifty-six".