86490 has 36 divisors (see below), whose sum is σ = 232362. Its totient is φ = 22320.

The previous prime is 86477. The next prime is 86491. The reversal of 86490 is 9468.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 8649 = 279^2 + 93^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86490.

It is not an unprimeable number, because it can be changed into a prime (86491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2775 + ... + 2805.

2⁸⁶⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116181).

86490 is an abundant number, since it is smaller than the sum of its proper divisors (145872).

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

86490 is a wasteful number, since it uses less digits than its factorization.

86490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86490 is about 294.0918223957. The cubic root of 86490 is about 44.2237227881.

It can be divided in two parts, 86 and 490, that added together give a square (576 = 24²).

The spelling of 86490 in words is "eighty-six thousand, four hundred ninety".