86510380 has 48 divisors (see below), whose sum is σ = 199420704. Its totient is φ = 31262720.

The previous prime is 86510377. The next prime is 86510387. The reversal of 86510380 is 8301568.

It is not an unprimeable number, because it can be changed into a prime (86510387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36924 + ... + 39196.

It is an arithmetic number, because the mean of its divisors is an integer number (4154598).

Almost surely, 2^86510380 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 86510380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99710352).

86510380 is an abundant number, since it is smaller than the sum of its proper divisors (112910324).

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

86510380 is a wasteful number, since it uses less digits than its factorization.

86510380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 86510380 is about 9301.0956343863. The cubic root of 86510380 is about 442.2719605549.

The spelling of 86510380 in words is "eighty-six million, five hundred ten thousand, three hundred eighty".