86768784 has 60 divisors (see below), whose sum is σ = 243613500. Its totient is φ = 28829952.

The previous prime is 86768777. The next prime is 86768827. The reversal of 86768784 is 48786768.

It can be written as a sum of positive squares in 2 ways, for example, as 24800400 + 61968384 = 4980^2 + 7872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86768784.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55242 + ... + 56790.

It is an arithmetic number, because the mean of its divisors is an integer number (4060225).

Almost surely, 2^86768784 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 86768784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121806750).

86768784 is an abundant number, since it is smaller than the sum of its proper divisors (156844716).

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

86768784 is a wasteful number, since it uses less digits than its factorization.

86768784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 86768784 is about 9314.9763284723. The cubic root of 86768784 is about 442.7118740221.

The spelling of 86768784 in words is "eighty-six million, seven hundred sixty-eight thousand, seven hundred eighty-four".