89946 has 24 divisors (see below), whose sum is σ = 205920. Its totient is φ = 28296.

The previous prime is 89939. The next prime is 89959. The reversal of 89946 is 64998.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 89946.

It is an unprimeable number.

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, 211 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2⁸⁹⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

89946 is an abundant number, since it is smaller than the sum of its proper divisors (115974).

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

89946 is a wasteful number, since it uses less digits than its factorization.

89946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 89946 is about 299.9099864959. The cubic root of 89946 is about 44.8050828629.

It can be divided in two parts, 89 and 946, that added together give a triangular number (1035 = T₄₅).

The spelling of 89946 in words is "eighty-nine thousand, nine hundred forty-six".