90396 has 42 divisors (see below), whose sum is σ = 244832. Its totient is φ = 29160.

The previous prime is 90379. The next prime is 90397. The reversal of 90396 is 69309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90397) by changing a digit.

90396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2901 + ... + 2931.

2⁹⁰³⁹⁶ 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 90396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122416).

90396 is an abundant number, since it is smaller than the sum of its proper divisors (154436).

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

90396 is a wasteful number, since it uses less digits than its factorization.

90396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90396 is about 300.6592755928. The cubic root of 90396 is about 44.8796785701.

It can be divided in two parts, 9039 and 6, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 90396 in words is "ninety thousand, three hundred ninety-six".