86766768 has 240 divisors, whose sum is σ = 295516800. Its totient is φ = 24105600.

The previous prime is 86766767. The next prime is 86766769.

86766768 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86766767) and next prime (86766769).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86766761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798913 + ... + 2798943.

It is an arithmetic number, because the mean of its divisors is an integer number (1231320).

Almost surely, 2^86766768 is an apocalyptic number.

86766768 is a gapful number since it is divisible by the number (88) 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 86766768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

86766768 is an abundant number, since it is smaller than the sum of its proper divisors (208750032).

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

86766768 is a wasteful number, since it uses less digits than its factorization.

86766768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 86766768 is about 9314.8681150084. The cubic root of 86766768 is about 442.7084453157.

The spelling of 86766768 in words is "eighty-six million, seven hundred sixty-six thousand, seven hundred sixty-eight".