86079296 has 56 divisors (see below), whose sum is σ = 183968136. Its totient is φ = 39813120.

The previous prime is 86079233. The next prime is 86079311. The reversal of 86079296 is 69297068.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 58369600 = 5264^2 + 7640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86079296.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 65720 + ... + 67016.

Almost surely, 2^86079296 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 86079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91984068).

86079296 is an abundant number, since it is smaller than the sum of its proper divisors (97888840).

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

86079296 is a wasteful number, since it uses less digits than its factorization.

86079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 86079296 is about 9277.8928642230. The cubic root of 86079296 is about 441.5361184987.

The spelling of 86079296 in words is "eighty-six million, seventy-nine thousand, two hundred ninety-six".