90516 has 24 divisors (see below), whose sum is σ = 222880. Its totient is φ = 28512.

The previous prime is 90511. The next prime is 90523. The reversal of 90516 is 61509.

It is a junction number, because it is equal to n+sod(n) for n = 90492 and 90501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90511) by changing a digit.

90516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 426.

2⁹⁰⁵¹⁶ 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 90516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111440).

90516 is an abundant number, since it is smaller than the sum of its proper divisors (132364).

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

90516 is a wasteful number, since it uses less digits than its factorization.

90516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90516 is about 300.8587708544. The cubic root of 90516 is about 44.8995289326.

It can be divided in two parts, 90 and 516, that added together give a palindrome (606).

The spelling of 90516 in words is "ninety thousand, five hundred sixteen".