90846 has 36 divisors (see below), whose sum is σ = 231192. Its totient is φ = 25704.

The previous prime is 90841. The next prime is 90847. The reversal of 90846 is 64809.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (6422).

2⁹⁰⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115596).

90846 is an abundant number, since it is smaller than the sum of its proper divisors (140346).

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

90846 is a wasteful number, since it uses less digits than its factorization.

90846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90846 is about 301.4067019826. The cubic root of 90846 is about 44.9540271233.

The spelling of 90846 in words is "ninety thousand, eight hundred forty-six".