89890 has 16 divisors (see below), whose sum is σ = 165240. Its totient is φ = 35200.

The previous prime is 89867. The next prime is 89891. The reversal of 89890 is 9898.

89890 = T₂₁₀ + T₂₁₁ + ... + T₂₁₃.

It can be written as a sum of positive squares in 4 ways, for example, as 80089 + 9801 = 283^2 + 99^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (89891) by changing a digit.

89890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 940.

2⁸⁹⁸⁹⁰ is an apocalyptic number.

89890 is a deficient number, since it is larger than the sum of its proper divisors (75350).

89890 is a wasteful number, since it uses less digits than its factorization.

89890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 89890 is about 299.8166106139. The cubic root of 89890 is about 44.7957824474.

It can be divided in two parts, 89 and 890, that added together give a palindrome (979).

The spelling of 89890 in words is "eighty-nine thousand, eight hundred ninety".