90020 has 24 divisors (see below), whose sum is σ = 216384. Its totient is φ = 30816.

The previous prime is 90019. The next prime is 90023. The reversal of 90020 is 2009.

90020 = T₁₄₆ + T₁₄₇ + ... + T₁₅₃.

It is a junction number, because it is equal to n+sod(n) for n = 89983 and 90010.

It is not an unprimeable number, because it can be changed into a prime (90023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9016).

2⁹⁰⁰²⁰ is an apocalyptic number.

It is an amenable number.

90020 is an abundant number, since it is smaller than the sum of its proper divisors (126364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108192).

90020 is a wasteful number, since it uses less digits than its factorization.

90020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 90020 is about 300.0333314817. The cubic root of 90020 is about 44.8173667788.

Subtracting from 90020 its sum of digits (11), we obtain a palindrome (90009).

Adding to 90020 its reverse (2009), we get a palindrome (92029).

The spelling of 90020 in words is "ninety thousand, twenty".