86620338 has 144 divisors (see below), whose sum is σ = 237683160. Its totient is φ = 22643712.

The previous prime is 86620333. The next prime is 86620343. The reversal of 86620338 is 83302668.

It is an interprime number because it is at equal distance from previous prime (86620333) and next prime (86620343).

It can be written as a sum of positive squares in 4 ways, for example, as 86545809 + 74529 = 9303^2 + 273^2 .

It is not an unprimeable number, because it can be changed into a prime (86620333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 794628 + ... + 794736.

Almost surely, 2^86620338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86620338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118841580).

86620338 is an abundant number, since it is smaller than the sum of its proper divisors (151062822).

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

86620338 is a wasteful number, since it uses less digits than its factorization.

86620338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86620338 is about 9307.0047813461. The cubic root of 86620338 is about 442.4592627441.

The spelling of 86620338 in words is "eighty-six million, six hundred twenty thousand, three hundred thirty-eight".