86905580 has 48 divisors (see below), whose sum is σ = 188348160. Its totient is φ = 33663168.

The previous prime is 86905571. The next prime is 86905583. The reversal of 86905580 is 8550968.

It is a super-3 number, since 3×86905580³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86905583) 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 15 ways as a sum of consecutive naturals, for example, 119177 + ... + 119903.

It is an arithmetic number, because the mean of its divisors is an integer number (3923920).

Almost surely, 2^86905580 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 86905580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94174080).

86905580 is an abundant number, since it is smaller than the sum of its proper divisors (101442580).

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

86905580 is a wasteful number, since it uses less digits than its factorization.

86905580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 86905580 is about 9322.3162357860. The cubic root of 86905580 is about 442.9444054790.

The spelling of 86905580 in words is "eighty-six million, nine hundred five thousand, five hundred eighty".