86666580 has 432 divisors, whose sum is σ = 364500864. Its totient is φ = 16174080.

The previous prime is 86666563. The next prime is 86666603. The reversal of 86666580 is 8566668.

It is a super-2 number, since 2×86666580² = 15022192177792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2342322 + ... + 2342358.

It is an arithmetic number, because the mean of its divisors is an integer number (843752).

Almost surely, 2^86666580 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 86666580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182250432).

86666580 is an abundant number, since it is smaller than the sum of its proper divisors (277834284).

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

86666580 is a wasteful number, since it uses less digits than its factorization.

86666580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 86666580 is about 9309.4887077648. The cubic root of 86666580 is about 442.5379839078.

It can be divided in two parts, 86 and 666580, that added together give a palindrome (666666).

The spelling of 86666580 in words is "eighty-six million, six hundred sixty-six thousand, five hundred eighty".