86490144 has 108 divisors (see below), whose sum is σ = 266481306. Its totient is φ = 26597376.

The previous prime is 86490077. The next prime is 86490149. The reversal of 86490144 is 44109468.

It is a happy number.

86490144 is a `hidden beast` number, since 8 + 649 + 0 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43718544 + 42771600 = 6612^2 + 6540^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 86490099 and 86490108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86490149) 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, 47784 + ... + 49560.

Almost surely, 2^86490144 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 86490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133240653).

86490144 is an abundant number, since it is smaller than the sum of its proper divisors (179991162).

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

86490144 is a wasteful number, since it uses less digits than its factorization.

86490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86490144 is about 9300.0077419323. The cubic root of 86490144 is about 442.2374733126.

The spelling of 86490144 in words is "eighty-six million, four hundred ninety thousand, one hundred forty-four".