86580360 has 64 divisors (see below), whose sum is σ = 288604800. Its totient is φ = 23087808.

The previous prime is 86580343. The next prime is 86580367. The reversal of 86580360 is 6308568.

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

It is not an unprimeable number, because it can be changed into a prime (86580367) 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, 39004 + ... + 41163.

It is an arithmetic number, because the mean of its divisors is an integer number (4509450).

Almost surely, 2^86580360 is an apocalyptic number.

It is an amenable number.

86580360 is an abundant number, since it is smaller than the sum of its proper divisors (202024440).

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

86580360 is a wasteful number, since it uses less digits than its factorization.

86580360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80187 (or 80177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86580360 is about 9304.8567963188. The cubic root of 86580360 is about 442.3911826650.

It can be divided in two parts, 865 and 80360, that added together give a square (81225 = 285²).

The spelling of 86580360 in words is "eighty-six million, five hundred eighty thousand, three hundred sixty".