86788768 has 48 divisors (see below), whose sum is σ = 188818560. Its totient is φ = 38937600.

The previous prime is 86788753. The next prime is 86788769.

86788768 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86788769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26248 + ... + 29368.

It is an arithmetic number, because the mean of its divisors is an integer number (3933720).

Almost surely, 2^86788768 is an apocalyptic number.

86788768 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 86788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94409280).

86788768 is an abundant number, since it is smaller than the sum of its proper divisors (102029792).

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

86788768 is a wasteful number, since it uses less digits than its factorization.

86788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3213 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 58.

The square root of 86788768 is about 9316.0489479178. The cubic root of 86788768 is about 442.7458588823.

The spelling of 86788768 in words is "eighty-six million, seven hundred eighty-eight thousand, seven hundred sixty-eight".