89820 has 36 divisors (see below), whose sum is σ = 273000. Its totient is φ = 23904.

The previous prime is 89819. The next prime is 89821. The reversal of 89820 is 2898.

89820 = T₁₂₉ + T₁₃₀ + ... + T₁₃₈.

It is an interprime number because it is at equal distance from previous prime (89819) and next prime (89821).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89820.

It is not an unprimeable number, because it can be changed into a prime (89821) 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 11 ways as a sum of consecutive naturals, for example, 70 + ... + 429.

2⁸⁹⁸²⁰ 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 89820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136500).

89820 is an abundant number, since it is smaller than the sum of its proper divisors (183180).

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

89820 is a wasteful number, since it uses less digits than its factorization.

89820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89820 is about 299.6998498498. The cubic root of 89820 is about 44.7841514944.

It can be divided in two parts, 89 and 820, that added together give a palindrome (909).

The spelling of 89820 in words is "eighty-nine thousand, eight hundred twenty".