86490000 has 225 divisors, whose sum is σ = 312539799. Its totient is φ = 22320000.

The previous prime is 86489987. The next prime is 86490007. The reversal of 86490000 is 9468.

The square root of 86490000 is 9300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 79709184 = 2604^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not an unprimeable number, because it can be changed into a prime (86490007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2789985 + ... + 2790015.

Almost surely, 2^86490000 is an apocalyptic number.

86490000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86490000 is the 9300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86490000

86490000 is an abundant number, since it is smaller than the sum of its proper divisors (226049799).

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

86490000 is a wasteful number, since it uses less digits than its factorization.

86490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

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

The cubic root of 86490000 is about 442.2372278810.

Adding to 86490000 its reverse (9468), we get a palindrome (86499468).

The spelling of 86490000 in words is "eighty-six million, four hundred ninety thousand".