86207680 has 224 divisors, whose sum is σ = 248863104. Its totient is φ = 28114944.

The previous prime is 86207677. The next prime is 86207687. The reversal of 86207680 is 8670268.

It is not an unprimeable number, because it can be changed into a prime (86207687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1626534 + ... + 1626586.

It is an arithmetic number, because the mean of its divisors is an integer number (1110996).

Almost surely, 2^86207680 is an apocalyptic number.

86207680 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 86207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

86207680 is an abundant number, since it is smaller than the sum of its proper divisors (162655424).

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

86207680 is a wasteful number, since it uses less digits than its factorization.

86207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 86207680 is about 9284.8090987376. The cubic root of 86207680 is about 441.7555209072.

The spelling of 86207680 in words is "eighty-six million, two hundred seven thousand, six hundred eighty".