90496 has 32 divisors (see below), whose sum is σ = 208080. Its totient is φ = 38400.

The previous prime is 90481. The next prime is 90499. The reversal of 90496 is 69409.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90499) by changing a digit.

90496 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 846 + ... + 946.

2⁹⁰⁴⁹⁶ 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 90496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104040).

90496 is an abundant number, since it is smaller than the sum of its proper divisors (117584).

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

90496 is a wasteful number, since it uses less digits than its factorization.

90496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 90496 is about 300.8255308314. The cubic root of 90496 is about 44.8962217577.

It can be divided in two parts, 904 and 96, that added together give a cube (1000 = 10³).

The spelling of 90496 in words is "ninety thousand, four hundred ninety-six".