86695840 has 192 divisors, whose sum is σ = 264757248. Its totient is φ = 26035200.

The previous prime is 86695837. The next prime is 86695867. The reversal of 86695840 is 4859668.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381807 + ... + 382033.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^86695840 is an apocalyptic number.

86695840 is a gapful number since it is divisible by the number (80) 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 86695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

86695840 is an abundant number, since it is smaller than the sum of its proper divisors (178061408).

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

86695840 is a wasteful number, since it uses less digits than its factorization.

86695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 86695840 is about 9311.0600900220. The cubic root of 86695840 is about 442.5877808979.

The spelling of 86695840 in words is "eighty-six million, six hundred ninety-five thousand, eight hundred forty".