86384640 has 224 divisors, whose sum is σ = 298825920. Its totient is φ = 21233664.

The previous prime is 86384563. The next prime is 86384651. The reversal of 86384640 is 4648368.

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, 2334702 + ... + 2334738.

Almost surely, 2^86384640 is an apocalyptic number.

86384640 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 86384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149412960).

86384640 is an abundant number, since it is smaller than the sum of its proper divisors (212441280).

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

86384640 is a wasteful number, since it uses less digits than its factorization.

86384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 86384640 is about 9294.3337577257. Note that the first 3 decimals coincide. The cubic root of 86384640 is about 442.0575807269.

The spelling of 86384640 in words is "eighty-six million, three hundred eighty-four thousand, six hundred forty".