86982336 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 22892544.

The previous prime is 86982331. The next prime is 86982341. The reversal of 86982336 is 63328968.

It is an interprime number because it is at equal distance from previous prime (86982331) and next prime (86982341).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 86982291 and 86982300.

It is not an unprimeable number, because it can be changed into a prime (86982331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850665 + ... + 1850711.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^86982336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

86982336 is an abundant number, since it is smaller than the sum of its proper divisors (232545600).

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

86982336 is a wasteful number, since it uses less digits than its factorization.

86982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 86982336 is about 9326.4321152303. The cubic root of 86982336 is about 443.0747716242.

The spelling of 86982336 in words is "eighty-six million, nine hundred eighty-two thousand, three hundred thirty-six".