86862384 has 240 divisors, whose sum is σ = 304319808. Its totient is φ = 22560768.

The previous prime is 86862379. The next prime is 86862431. The reversal of 86862384 is 48326868.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633964 + ... + 634100.

Almost surely, 2^86862384 is an apocalyptic number.

86862384 is a gapful number since it is divisible by the number (84) 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 86862384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159904).

86862384 is an abundant number, since it is smaller than the sum of its proper divisors (217457424).

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

86862384 is a wasteful number, since it uses less digits than its factorization.

86862384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86862384 is about 9319.9991416309. Note that the first 3 decimals coincide. The cubic root of 86862384 is about 442.8710055222.

The spelling of 86862384 in words is "eighty-six million, eight hundred sixty-two thousand, three hundred eighty-four".