86377368 has 128 divisors (see below), whose sum is σ = 275742720. Its totient is φ = 21893760.

The previous prime is 86377367. The next prime is 86377373.

86377368 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86377368³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86377367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78921 + ... + 80007.

It is an arithmetic number, because the mean of its divisors is an integer number (2154240).

Almost surely, 2^86377368 is an apocalyptic number.

86377368 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 86377368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137871360).

86377368 is an abundant number, since it is smaller than the sum of its proper divisors (189365352).

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

86377368 is a wasteful number, since it uses less digits than its factorization.

86377368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1153 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 86377368 is about 9293.9425433989. The cubic root of 86377368 is about 442.0451760026.

The spelling of 86377368 in words is "eighty-six million, three hundred seventy-seven thousand, three hundred sixty-eight".