86755768 has 64 divisors (see below), whose sum is σ = 184187520. Its totient is φ = 37968000.

The previous prime is 86755727. The next prime is 86755807.

86755768 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86755768³ (a number of 25 digits) contains 333 as substring.

Its product of digits (2822400) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

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, 382071 + ... + 382297.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^86755768 is an apocalyptic number.

86755768 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 86755768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093760).

86755768 is an abundant number, since it is smaller than the sum of its proper divisors (97431752).

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

86755768 is a wasteful number, since it uses less digits than its factorization.

86755768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 52.

The square root of 86755768 is about 9314.2776424154. The cubic root of 86755768 is about 442.6897361608.

The spelling of 86755768 in words is "eighty-six million, seven hundred fifty-five thousand, seven hundred sixty-eight".