86296320 has 288 divisors, whose sum is σ = 335543040. Its totient is φ = 20828160.

The previous prime is 86296307. The next prime is 86296363. The reversal of 86296320 is 2369268.

86296320 is a `hidden beast` number, since 8 + 629 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380047 + ... + 380273.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^86296320 is an apocalyptic number.

86296320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

86296320 is an abundant number, since it is smaller than the sum of its proper divisors (249246720).

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

86296320 is a wasteful number, since it uses less digits than its factorization.

86296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86296320 is about 9289.5812607458. The cubic root of 86296320 is about 441.9068755443.

The spelling of 86296320 in words is "eighty-six million, two hundred ninety-six thousand, three hundred twenty".