89790 has 32 divisors (see below), whose sum is σ = 223776. Its totient is φ = 23040.

The previous prime is 89783. The next prime is 89797. The reversal of 89790 is 9798.

89790 = 132² + 133² + ... + 136².

It is an interprime number because it is at equal distance from previous prime (89783) and next prime (89797).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89797) by changing a digit.

89790 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 15 ways as a sum of consecutive naturals, for example, 1194 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (6993).

2⁸⁹⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888).

89790 is an abundant number, since it is smaller than the sum of its proper divisors (133986).

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

89790 is a wasteful number, since it uses less digits than its factorization.

89790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 89790 is about 299.6497955948. The cubic root of 89790 is about 44.7791649504.

The spelling of 89790 in words is "eighty-nine thousand, seven hundred ninety".