86830380 has 480 divisors, whose sum is σ = 364277760. Its totient is φ = 16796160.

The previous prime is 86830363. The next prime is 86830397. The reversal of 86830380 is 8303868.

It is an interprime number because it is at equal distance from previous prime (86830363) and next prime (86830397).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2800965 + ... + 2800995.

It is an arithmetic number, because the mean of its divisors is an integer number (758912).

Almost surely, 2^86830380 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 86830380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182138880).

86830380 is an abundant number, since it is smaller than the sum of its proper divisors (277447380).

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

86830380 is a wasteful number, since it uses less digits than its factorization.

86830380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86830380 is about 9318.2820305033. The cubic root of 86830380 is about 442.8166076570.

The spelling of 86830380 in words is "eighty-six million, eight hundred thirty thousand, three hundred eighty".