90243360 has 144 divisors (see below), whose sum is σ = 318722040. Its totient is φ = 23224320.

The previous prime is 90243319. The next prime is 90243367. The reversal of 90243360 is 6334209.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 12873744 = 8796^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (90243367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40680 + ... + 42840.

Almost surely, 2^90243360 is an apocalyptic number.

90243360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159361020).

90243360 is an abundant number, since it is smaller than the sum of its proper divisors (228478680).

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

90243360 is a wasteful number, since it uses less digits than its factorization.

90243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 90243360 is about 9499.6505198876. The cubic root of 90243360 is about 448.5440350794.

Adding to 90243360 its reverse (6334209), we get a palindrome (96577569).

It can be divided in two parts, 90 and 243360, that multiplied together give a square (21902400 = 4680²).

The spelling of 90243360 in words is "ninety million, two hundred forty-three thousand, three hundred sixty".