90944 has 42 divisors (see below), whose sum is σ = 217170. Its totient is φ = 37632.

The previous prime is 90931. The next prime is 90947. The reversal of 90944 is 44909.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 12544 = 280^2 + 112^2 .

It is a super-2 number, since 2×90944² = 16541622272, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90947) by changing a digit.

90944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3122 + ... + 3150.

2⁹⁰⁹⁴⁴ 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 90944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108585).

90944 is an abundant number, since it is smaller than the sum of its proper divisors (126226).

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

90944 is a wasteful number, since it uses less digits than its factorization.

90944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 90944 is about 301.5692291995. The cubic root of 90944 is about 44.9701860129.

The spelling of 90944 in words is "ninety thousand, nine hundred forty-four".