86768360 has 64 divisors (see below), whose sum is σ = 225244800. Its totient is φ = 29465856.

The previous prime is 86768359. The next prime is 86768389. The reversal of 86768360 is 6386768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29099 + ... + 31941.

It is an arithmetic number, because the mean of its divisors is an integer number (3519450).

Almost surely, 2^86768360 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 86768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112622400).

86768360 is an abundant number, since it is smaller than the sum of its proper divisors (138476440).

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

86768360 is a wasteful number, since it uses less digits than its factorization.

86768360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 86768360 is about 9314.9535693958. The cubic root of 86768360 is about 442.7111529097.

The spelling of 86768360 in words is "eighty-six million, seven hundred sixty-eight thousand, three hundred sixty".