86007968 has 24 divisors (see below), whose sum is σ = 175168980. Its totient is φ = 41520640.

The previous prime is 86007959. The next prime is 86008009. The reversal of 86007968 is 86970068.

It can be written as a sum of positive squares in 2 ways, for example, as 84125584 + 1882384 = 9172^2 + 1372^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45413 + ... + 47268.

Almost surely, 2^86007968 is an apocalyptic number.

It is an amenable number.

86007968 is an abundant number, since it is smaller than the sum of its proper divisors (89161012).

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

86007968 is a wasteful number, since it uses less digits than its factorization.

86007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92720 (or 92712 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 86007968 is about 9274.0480913137. The cubic root of 86007968 is about 441.4141279130.

The spelling of 86007968 in words is "eighty-six million, seven thousand, nine hundred sixty-eight".