86008960 has 64 divisors (see below), whose sum is σ = 214591680. Its totient is φ = 32902144.

The previous prime is 86008943. The next prime is 86008969. The reversal of 86008960 is 6980068.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86008969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11799 + ... + 17641.

It is an arithmetic number, because the mean of its divisors is an integer number (3352995).

Almost surely, 2^86008960 is an apocalyptic number.

86008960 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 86008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107295840).

86008960 is an abundant number, since it is smaller than the sum of its proper divisors (128582720).

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

86008960 is a wasteful number, since it uses less digits than its factorization.

86008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 86008960 is about 9274.1015737375. The cubic root of 86008960 is about 441.4158249694.

It can be divided in two parts, 86008 and 960, that added together give a palindrome (86968).

The spelling of 86008960 in words is "eighty-six million, eight thousand, nine hundred sixty".