86317440 has 256 divisors, whose sum is σ = 309623040. Its totient is φ = 20275200.

The previous prime is 86317433. The next prime is 86317481. The reversal of 86317440 is 4471368.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1288287 + ... + 1288353.

It is an arithmetic number, because the mean of its divisors is an integer number (1209465).

Almost surely, 2^86317440 is an apocalyptic number.

86317440 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 86317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

86317440 is an abundant number, since it is smaller than the sum of its proper divisors (223305600).

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

86317440 is a wasteful number, since it uses less digits than its factorization.

86317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 86317440 is about 9290.7179485764. The cubic root of 86317440 is about 441.9429230912.

The spelling of 86317440 in words is "eighty-six million, three hundred seventeen thousand, four hundred forty".