90390240 has 144 divisors (see below), whose sum is σ = 316186416. Its totient is φ = 23500800.

The previous prime is 90390233. The next prime is 90390263. The reversal of 90390240 is 4209309.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58275 + ... + 59805.

It is an arithmetic number, because the mean of its divisors is an integer number (2195739).

Almost surely, 2^90390240 is an apocalyptic number.

90390240 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 90390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158093208).

90390240 is an abundant number, since it is smaller than the sum of its proper divisors (225796176).

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

90390240 is a wasteful number, since it uses less digits than its factorization.

90390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90390240 is about 9507.3781874921. The cubic root of 90390240 is about 448.7872531101.

Adding to 90390240 its reverse (4209309), we get a palindrome (94599549).

The spelling of 90390240 in words is "ninety million, three hundred ninety thousand, two hundred forty".