86205460 has 48 divisors (see below), whose sum is σ = 199910592. Its totient is φ = 30963200.

The previous prime is 86205439. The next prime is 86205463. The reversal of 86205460 is 6450268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205463) 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, 15900 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (4164804).

Almost surely, 2^86205460 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 86205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99955296).

86205460 is an abundant number, since it is smaller than the sum of its proper divisors (113705132).

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

86205460 is a wasteful number, since it uses less digits than its factorization.

86205460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 86205460 is about 9284.6895478524. The cubic root of 86205460 is about 441.7517288797.

The spelling of 86205460 in words is "eighty-six million, two hundred five thousand, four hundred sixty".