86096736 has 96 divisors (see below), whose sum is σ = 273974400. Its totient is φ = 26087040.

The previous prime is 86096723. The next prime is 86096749. The reversal of 86096736 is 63769068.

86096736 is a `hidden beast` number, since 8 + 609 + 6 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (86096723) and next prime (86096749).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 86096691 and 86096700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975 + ... + 14033.

It is an arithmetic number, because the mean of its divisors is an integer number (2853900).

Almost surely, 2^86096736 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 86096736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136987200).

86096736 is an abundant number, since it is smaller than the sum of its proper divisors (187877664).

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

86096736 is a wasteful number, since it uses less digits than its factorization.

86096736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 86096736 is about 9278.8326852035. The cubic root of 86096736 is about 441.5659354631.

The spelling of 86096736 in words is "eighty-six million, ninety-six thousand, seven hundred thirty-six".