90838760 has 64 divisors (see below), whose sum is σ = 211593600. Its totient is φ = 35078400.

The previous prime is 90838757. The next prime is 90838763. The reversal of 90838760 is 6783809.

It is an interprime number because it is at equal distance from previous prime (90838757) and next prime (90838763).

It is not an unprimeable number, because it can be changed into a prime (90838763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143645 + ... + 144275.

It is an arithmetic number, because the mean of its divisors is an integer number (3306150).

Almost surely, 2^90838760 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 90838760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796800).

90838760 is an abundant number, since it is smaller than the sum of its proper divisors (120754840).

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

90838760 is a wasteful number, since it uses less digits than its factorization.

90838760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 90838760 is about 9530.9369948605. The cubic root of 90838760 is about 449.5283288320.

The spelling of 90838760 in words is "ninety million, eight hundred thirty-eight thousand, seven hundred sixty".