86064768 has 96 divisors (see below), whose sum is σ = 256925760. Its totient is φ = 28677888.

The previous prime is 86064763. The next prime is 86064793. The reversal of 86064768 is 86746068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86064763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29721 + ... + 32487.

It is an arithmetic number, because the mean of its divisors is an integer number (2676310).

Almost surely, 2^86064768 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 86064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128462880).

86064768 is an abundant number, since it is smaller than the sum of its proper divisors (170860992).

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

86064768 is an equidigital number, since it uses as much as digits as its factorization.

86064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 86064768 is about 9277.1098947894. The cubic root of 86064768 is about 441.5112770717.

The spelling of 86064768 in words is "eighty-six million, sixty-four thousand, seven hundred sixty-eight".