86266560 has 112 divisors (see below), whose sum is σ = 285878016. Its totient is φ = 21998592.

The previous prime is 86266511. The next prime is 86266567. The reversal of 86266560 is 6566268.

It is not an unprimeable number, because it can be changed into a prime (86266567) 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, 20127 + ... + 24033.

Almost surely, 2^86266560 is an apocalyptic number.

86266560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142939008).

86266560 is an abundant number, since it is smaller than the sum of its proper divisors (199611456).

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

86266560 is a wasteful number, since it uses less digits than its factorization.

86266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 86266560 is about 9287.9793281424. The cubic root of 86266560 is about 441.8560712896.

The spelling of 86266560 in words is "eighty-six million, two hundred sixty-six thousand, five hundred sixty".