90336 has 24 divisors (see below), whose sum is σ = 237384. Its totient is φ = 30080.

The previous prime is 90313. The next prime is 90353. The reversal of 90336 is 63309.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (9891).

2⁹⁰³³⁶ is an apocalyptic number.

90336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90336 is an abundant number, since it is smaller than the sum of its proper divisors (147048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692).

90336 is a wasteful number, since it uses less digits than its factorization.

90336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 90336 is about 300.5594783067. The cubic root of 90336 is about 44.8697468006.

It can be divided in two parts, 903 and 36, that added together give a palindrome (939).

The spelling of 90336 in words is "ninety thousand, three hundred thirty-six".