86835320 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 25436160.

The previous prime is 86835319. The next prime is 86835323. The reversal of 86835320 is 2353868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86835323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847537 + ... + 1847583.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^86835320 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 86835320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

86835320 is an abundant number, since it is smaller than the sum of its proper divisors (174438280).

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

86835320 is a wasteful number, since it uses less digits than its factorization.

86835320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 86835320 is about 9318.5470970533. The cubic root of 86835320 is about 442.8250051501.

The spelling of 86835320 in words is "eighty-six million, eight hundred thirty-five thousand, three hundred twenty".