90053760 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 21626880.

The previous prime is 90053741. The next prime is 90053767. The reversal of 90053760 is 6735009.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90053767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011796 + ... + 1011884.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^90053760 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 90053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

90053760 is an abundant number, since it is smaller than the sum of its proper divisors (227207040).

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

90053760 is a wasteful number, since it uses less digits than its factorization.

90053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 90053760 is about 9489.6659582938. The cubic root of 90053760 is about 448.2296866428.

Adding to 90053760 its reverse (6735009), we get a palindrome (96788769).

The spelling of 90053760 in words is "ninety million, fifty-three thousand, seven hundred sixty".