90824 has 8 divisors (see below), whose sum is σ = 170310. Its totient is φ = 45408.

The previous prime is 90823. The next prime is 90833. The reversal of 90824 is 42809.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 6724 = 290^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 90824.

It is not an unprimeable number, because it can be changed into a prime (90821) by changing a digit.

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 as a sum of consecutive naturals, namely, 5669 + ... + 5684.

2⁹⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

90824 is a deficient number, since it is larger than the sum of its proper divisors (79486).

90824 is a wasteful number, since it uses less digits than its factorization.

90824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359 (or 11355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 90824 is about 301.3702042339. The cubic root of 90824 is about 44.9503980204.

The spelling of 90824 in words is "ninety thousand, eight hundred twenty-four".